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105834740 = 22511481067
BaseRepresentation
bin1100100111011…
…10100011110100
321101010221222012
412103232203310
5204043202430
614300223352
72423403044
oct623564364
9241127865
10105834740
1154817230
122b53ab58
1318c0750b
14100ad724
159458695
hex64ee8f4

105834740 has 24 divisors (see below), whose sum is σ = 242458272. Its totient is φ = 38485280.

The previous prime is 105834737. The next prime is 105834761. The reversal of 105834740 is 47438501.

It is a super-2 number, since 2×1058347402 = 22401984381735200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105834697 and 105834706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240314 + ... + 240753.

It is an arithmetic number, because the mean of its divisors is an integer number (10102428).

Almost surely, 2105834740 is an apocalyptic number.

105834740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105834740 is an abundant number, since it is smaller than the sum of its proper divisors (136623532).

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

105834740 is a wasteful number, since it uses less digits than its factorization.

105834740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481087 (or 481085 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 105834740 is about 10287.6012753217. The cubic root of 105834740 is about 473.0162735932.

The spelling of 105834740 in words is "one hundred five million, eight hundred thirty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 481067 962134 1924268 2405335 4810670 5291737 9621340 10583474 21166948 26458685 52917370 105834740