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106421250 = 2354133759
BaseRepresentation
bin1100101011111…
…01110000000010
321102020202111210
412111331300002
5204220440000
614320550550
72431365015
oct625756002
9242222453
10106421250
1155087951
122b782456
1319081470
14101c337c
159522350
hex657dc02

106421250 has 160 divisors (see below), whose sum is σ = 299154240. Its totient is φ = 25056000.

The previous prime is 106421221. The next prime is 106421257. The reversal of 106421250 is 52124601.

It is a super-2 number, since 2×1064212502 = 22650964903125000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106421257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1803721 + ... + 1803779.

It is an arithmetic number, because the mean of its divisors is an integer number (1869714).

Almost surely, 2106421250 is an apocalyptic number.

106421250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106421250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149577120).

106421250 is an abundant number, since it is smaller than the sum of its proper divisors (192732990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106421250 is a wasteful number, since it uses less digits than its factorization.

106421250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 106421250 is about 10316.0675647264. The cubic root of 106421250 is about 473.8884442561. Note that the first 3 decimals are identical.

Adding to 106421250 its reverse (52124601), we get a palindrome (158545851).

The spelling of 106421250 in words is "one hundred six million, four hundred twenty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 37 39 50 59 65 74 75 78 111 118 125 130 150 177 185 195 222 250 295 325 354 370 375 390 481 555 590 625 650 750 767 885 925 962 975 1110 1250 1443 1475 1534 1625 1770 1850 1875 1950 2183 2301 2405 2775 2886 2950 3250 3750 3835 4366 4425 4602 4625 4810 4875 5550 6549 7215 7375 7670 8125 8850 9250 9750 10915 11505 12025 13098 13875 14430 14750 16250 19175 21830 22125 23010 23125 24050 24375 27750 28379 32745 36075 36875 38350 44250 46250 48750 54575 56758 57525 60125 65490 69375 72150 73750 85137 95875 109150 110625 115050 120250 138750 141895 163725 170274 180375 191750 221250 272875 283790 287625 300625 327450 360750 425685 479375 545750 575250 601250 709475 818625 851370 901875 958750 1364375 1418950 1438125 1637250 1803750 2128425 2728750 2876250 3547375 4093125 4256850 7094750 8186250 10642125 17736875 21284250 35473750 53210625 106421250