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105325536 = 2531097141
BaseRepresentation
bin1100100011100…
…10001111100000
321100012002110210
412101302033200
5203430404121
614241254120
72416152351
oct621621740
9240162423
10105325536
11544a96a8
122b334340
1318a89804
14ddb9d28
1593a7876
hex64723e0

105325536 has 24 divisors (see below), whose sum is σ = 276479784. Its totient is φ = 35108480.

The previous prime is 105325513. The next prime is 105325601. The reversal of 105325536 is 635523501.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1053255362 = 22186937067374592, 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 3 ways as a sum of consecutive naturals, for example, 548475 + ... + 548666.

It is an arithmetic number, because the mean of its divisors is an integer number (11519991).

Almost surely, 2105325536 is an apocalyptic number.

105325536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105325536 is an abundant number, since it is smaller than the sum of its proper divisors (171154248).

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

105325536 is a wasteful number, since it uses less digits than its factorization.

105325536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097154 (or 1097146 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 105325536 is about 10262.8230034431. The cubic root of 105325536 is about 472.2564440025.

The spelling of 105325536 in words is "one hundred five million, three hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1097141 2194282 3291423 4388564 6582846 8777128 13165692 17554256 26331384 35108512 52662768 105325536