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105156264 = 23316272693
BaseRepresentation
bin1100100010010…
…00111010101000
321022212111021110
412101020322220
5203410000024
614233510320
72414546013
oct621107250
9238774243
10105156264
11543a3504
122b2723a0
1318a2a755
14dd7437a
159372629
hex6448ea8

105156264 has 32 divisors (see below), whose sum is σ = 263149920. Its totient is φ = 35017536.

The previous prime is 105156217. The next prime is 105156277. The reversal of 105156264 is 462651501.

It is a super-2 number, since 2×1051562642 = 22115679716875392, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37702 + ... + 40394.

It is an arithmetic number, because the mean of its divisors is an integer number (8223435).

Almost surely, 2105156264 is an apocalyptic number.

It is an amenable number.

105156264 is an abundant number, since it is smaller than the sum of its proper divisors (157993656).

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

105156264 is a wasteful number, since it uses less digits than its factorization.

105156264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4329 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 105156264 is about 10254.5728336192. The cubic root of 105156264 is about 472.0033155948.

The spelling of 105156264 in words is "one hundred five million, one hundred fifty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 1627 2693 3254 4881 5386 6508 8079 9762 10772 13016 16158 19524 21544 32316 39048 64632 4381511 8763022 13144533 17526044 26289066 35052088 52578132 105156264