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105842334 = 23132104381
BaseRepresentation
bin1100100111100…
…00011010011110
321101011100101110
412103300122132
5204043423314
614300322450
72423434143
oct623603236
9241140343
10105842334
1154821a04
122b543426
1318c0ab00
14100b23ca
15945aa59
hex64f069e

105842334 has 24 divisors (see below), whose sum is σ = 229222872. Its totient is φ = 32566560.

The previous prime is 105842309. The next prime is 105842371. The reversal of 105842334 is 433248501.

It is a super-2 number, since 2×1058423342 = 22405199333135112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51177 + ... + 53204.

It is an arithmetic number, because the mean of its divisors is an integer number (9550953).

Almost surely, 2105842334 is an apocalyptic number.

105842334 is an abundant number, since it is smaller than the sum of its proper divisors (123380538).

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

105842334 is a wasteful number, since it uses less digits than its factorization.

105842334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104412 (or 104399 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 105842334 is about 10287.9703537675. The cubic root of 105842334 is about 473.0275868276.

The spelling of 105842334 in words is "one hundred five million, eight hundred forty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 104381 208762 313143 626286 1356953 2713906 4070859 8141718 17640389 35280778 52921167 105842334