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105032634 = 23710612357
BaseRepresentation
bin1100100001010…
…10101110111010
321022122012200120
412100222232322
5203342021014
614231114110
72413522410
oct620525672
9238565616
10105032634
1154319633
122b212936
13189b63b5
14dd412b0
15934aba9
hex642abba

105032634 has 32 divisors (see below), whose sum is σ = 240402816. Its totient is φ = 29968320.

The previous prime is 105032623. The next prime is 105032657. The reversal of 105032634 is 436230501.

It is a happy number.

It is a super-2 number, since 2×1050326342 = 22063708409955912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43384 + ... + 45740.

It is an arithmetic number, because the mean of its divisors is an integer number (7512588).

Almost surely, 2105032634 is an apocalyptic number.

105032634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105032634 is an abundant number, since it is smaller than the sum of its proper divisors (135370182).

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

105032634 is a wasteful number, since it uses less digits than its factorization.

105032634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 105032634 is about 10248.5430184002. The cubic root of 105032634 is about 471.8182682787.

The spelling of 105032634 in words is "one hundred five million, thirty-two thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 1061 2122 2357 3183 4714 6366 7071 7427 14142 14854 16499 22281 32998 44562 49497 98994 2500777 5001554 7502331 15004662 17505439 35010878 52516317 105032634