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105893916 = 22319464447
BaseRepresentation
bin1100100111111…
…01000000011100
321101020222010220
412103331000130
5204102101131
614301401340
72424040422
oct623750034
9241228126
10105893916
1154857737
122b569250
1318c2842b
14100c7112
15946ae96
hex64fd01c

105893916 has 24 divisors (see below), whose sum is σ = 260090880. Its totient is φ = 33440112.

The previous prime is 105893903. The next prime is 105893959. The reversal of 105893916 is 619398501.

It is a super-2 number, since 2×1058939162 = 22427042891630112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231996 + ... + 232451.

It is an arithmetic number, because the mean of its divisors is an integer number (10837120).

Almost surely, 2105893916 is an apocalyptic number.

It is an amenable number.

105893916 is an abundant number, since it is smaller than the sum of its proper divisors (154196964).

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

105893916 is a wasteful number, since it uses less digits than its factorization.

105893916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464473 (or 464471 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 105893916 is about 10290.4769568762. The cubic root of 105893916 is about 473.1044172899.

The spelling of 105893916 in words is "one hundred five million, eight hundred ninety-three thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 464447 928894 1393341 1857788 2786682 5573364 8824493 17648986 26473479 35297972 52946958 105893916