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106455570 = 23513893067
BaseRepresentation
bin1100101100001…
…10001000010010
321102022111120220
412112012020102
5204223034240
614321413510
72431600044
oct626061022
9242274526
10106455570
1155100711
122b79a296
1319093c80
14101d1a94
15952c5d0
hex6586212

106455570 has 64 divisors (see below), whose sum is σ = 278328960. Its totient is φ = 25901568.

The previous prime is 106455541. The next prime is 106455571. The reversal of 106455570 is 75554601.

It is a super-2 number, since 2×1064555702 = 22665576768049800, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106455571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33177 + ... + 36243.

It is an arithmetic number, because the mean of its divisors is an integer number (4348890).

Almost surely, 2106455570 is an apocalyptic number.

106455570 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 106455570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139164480).

106455570 is an abundant number, since it is smaller than the sum of its proper divisors (171873390).

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

106455570 is a wasteful number, since it uses less digits than its factorization.

106455570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179.

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 106455570 is about 10317.7308551832. The cubic root of 106455570 is about 473.9393805224.

The spelling of 106455570 in words is "one hundred six million, four hundred fifty-five thousand, five hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 89 130 178 195 267 390 445 534 890 1157 1335 2314 2670 3067 3471 5785 6134 6942 9201 11570 15335 17355 18402 30670 34710 39871 46005 79742 92010 119613 199355 239226 272963 398710 545926 598065 818889 1196130 1364815 1637778 2729630 3548519 4094445 7097038 8188890 10645557 17742595 21291114 35485190 53227785 106455570