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105381834 = 23314611229
BaseRepresentation
bin1100100011111…
…11111111001010
321100021221200220
412101333333022
5203434204314
614242410510
72416505445
oct621777712
9240257626
10105381834
1154537a28
122b360a36
1318aa931c
14ddd265c
1593b93a9
hex647ffca

105381834 has 32 divisors (see below), whose sum is σ = 218211840. Its totient is φ = 33892800.

The previous prime is 105381823. The next prime is 105381841. The reversal of 105381834 is 438183501.

It is a super-2 number, since 2×1053818342 = 22210661874407112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105381795 and 105381804.

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, 85132 + ... + 86360.

It is an arithmetic number, because the mean of its divisors is an integer number (6819120).

Almost surely, 2105381834 is an apocalyptic number.

105381834 is an abundant number, since it is smaller than the sum of its proper divisors (112830006).

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

105381834 is a wasteful number, since it uses less digits than its factorization.

105381834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 105381834 is about 10265.5654495990. The cubic root of 105381834 is about 472.3405716150.

The spelling of 105381834 in words is "one hundred five million, three hundred eighty-one thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 31 62 93 186 461 922 1229 1383 2458 2766 3687 7374 14291 28582 38099 42873 76198 85746 114297 228594 566569 1133138 1699707 3399414 17563639 35127278 52690917 105381834