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105044532 = 22367313007
BaseRepresentation
bin1100100001011…
…01101000110100
321022122211000020
412100231220310
5203342411112
614231245140
72413602165
oct620555064
9238584006
10105044532
115432756a
122b2197b0
13189bb938
14dd4576c
15934e48c
hex642da34

105044532 has 24 divisors (see below), whose sum is σ = 245486976. Its totient is φ = 34960128.

The previous prime is 105044507. The next prime is 105044561. The reversal of 105044532 is 235440501.

It is a super-2 number, since 2×1050445322 = 22068707406198048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1573 + ... + 14579.

It is an arithmetic number, because the mean of its divisors is an integer number (10228624).

Almost surely, 2105044532 is an apocalyptic number.

105044532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105044532 is an abundant number, since it is smaller than the sum of its proper divisors (140442444).

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

105044532 is a wasteful number, since it uses less digits than its factorization.

105044532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13687 (or 13685 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 105044532 is about 10249.1234747172. The cubic root of 105044532 is about 471.8360833189.

The spelling of 105044532 in words is "one hundred five million, forty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 673 1346 2019 2692 4038 8076 13007 26014 39021 52028 78042 156084 8753711 17507422 26261133 35014844 52522266 105044532