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106140300 = 22352750543
BaseRepresentation
bin1100101001110…
…01001010001100
321101201111010020
412110321022030
5204132442200
614310542140
72426114640
oct624711214
9241644106
10106140300
1154a05862
122b667950
1318cb3616
141014cc20
1594b8ea0
hex653928c

106140300 has 72 divisors (see below), whose sum is σ = 350977536. Its totient is φ = 24260160.

The previous prime is 106140283. The next prime is 106140301. The reversal of 106140300 is 3041601.

It is a super-2 number, since 2×1061403002 = 22531526568180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 106140300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106140301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23172 + ... + 27371.

It is an arithmetic number, because the mean of its divisors is an integer number (4874688).

Almost surely, 2106140300 is an apocalyptic number.

106140300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106140300 is an abundant number, since it is smaller than the sum of its proper divisors (244837236).

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

106140300 is a wasteful number, since it uses less digits than its factorization.

106140300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50567 (or 50560 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 106140300 is about 10302.4414582176. The cubic root of 106140300 is about 473.4710580293.

Adding to 106140300 its reverse (3041601), we get a palindrome (109181901).

The spelling of 106140300 in words is "one hundred six million, one hundred forty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 50543 101086 151629 202172 252715 303258 353801 505430 606516 707602 758145 1010860 1061403 1263575 1415204 1516290 1769005 2122806 2527150 3032580 3538010 3790725 4245612 5054300 5307015 7076020 7581450 8845025 10614030 15162900 17690050 21228060 26535075 35380100 53070150 106140300