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105152872 = 23112234723
BaseRepresentation
bin1100100010010…
…00000101101000
321022212022121211
412101020011220
5203404342442
614233442504
72414533066
oct621100550
9238768554
10105152872
11543a0a00
122b270434
1318a29046
14dd73036
159371617
hex6448168

105152872 has 48 divisors (see below), whose sum is σ = 226185120. Its totient is φ = 45708960.

The previous prime is 105152867. The next prime is 105152891. The reversal of 105152872 is 278251501.

It is a super-2 number, since 2×1051528722 = 22114252979696768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19903 + ... + 24625.

It is an arithmetic number, because the mean of its divisors is an integer number (4712190).

Almost surely, 2105152872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105152872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113092560).

105152872 is an abundant number, since it is smaller than the sum of its proper divisors (121032248).

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

105152872 is a wasteful number, since it uses less digits than its factorization.

105152872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4759 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 31.

The square root of 105152872 is about 10254.4074426561. The cubic root of 105152872 is about 471.9982404416.

The spelling of 105152872 in words is "one hundred five million, one hundred fifty-two thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 121 184 242 253 484 506 968 1012 2024 2783 4723 5566 9446 11132 18892 22264 37784 51953 103906 108629 207812 217258 415624 434516 571483 869032 1142966 1194919 2285932 2389838 4571864 4779676 9559352 13144109 26288218 52576436 105152872