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105065934 = 23195631637
BaseRepresentation
bin1100100001100…
…10110111001110
321022200220100220
412100302313032
5203344102214
614231532210
72414021451
oct620626716
9238626326
10105065934
1154341656
122b22a066
13189c85bc
14dd4d498
1593559a9
hex6432dce

105065934 has 32 divisors (see below), whose sum is σ = 221719680. Its totient is φ = 33099552.

The previous prime is 105065929. The next prime is 105065941. The reversal of 105065934 is 439560501.

It is a happy number.

It is a super-2 number, since 2×1050659342 = 22077700974584712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105065895 and 105065904.

It is a congruent number.

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, 63364 + ... + 65000.

It is an arithmetic number, because the mean of its divisors is an integer number (6928740).

Almost surely, 2105065934 is an apocalyptic number.

105065934 is an abundant number, since it is smaller than the sum of its proper divisors (116653746).

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

105065934 is a wasteful number, since it uses less digits than its factorization.

105065934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224.

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 105065934 is about 10250.1675108263. The cubic root of 105065934 is about 471.8681254440.

The spelling of 105065934 in words is "one hundred five million, sixty-five thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 19 38 57 114 563 1126 1637 1689 3274 3378 4911 9822 10697 21394 31103 32091 62206 64182 93309 186618 921631 1843262 2764893 5529786 17510989 35021978 52532967 105065934