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105032608 = 2519172751
BaseRepresentation
bin1100100001010…
…10101110100000
321022122012122121
412100222232200
5203342020413
614231114024
72413522342
oct620525640
9238565577
10105032608
115431960a
122b212914
13189b6395
14dd41292
15934ab8d
hex642aba0

105032608 has 24 divisors (see below), whose sum is σ = 217667520. Its totient is φ = 49752000.

The previous prime is 105032593. The next prime is 105032621. The reversal of 105032608 is 806230501.

It is a happy number.

It is a super-2 number, since 2×1050326082 = 22063697486563328, 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 3 ways as a sum of consecutive naturals, for example, 85768 + ... + 86983.

It is an arithmetic number, because the mean of its divisors is an integer number (9069480).

Almost surely, 2105032608 is an apocalyptic number.

It is an amenable number.

105032608 is an abundant number, since it is smaller than the sum of its proper divisors (112634912).

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

105032608 is a wasteful number, since it uses less digits than its factorization.

105032608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172780 (or 172772 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 105032608 is about 10248.5417499272. The cubic root of 105032608 is about 471.8182293470.

The spelling of 105032608 in words is "one hundred five million, thirty-two thousand, six hundred eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 172751 345502 691004 1382008 2764016 3282269 5528032 6564538 13129076 26258152 52516304 105032608