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105716892 = 22315756113
BaseRepresentation
bin1100100110100…
…01110010011100
321100220222022110
412103101302130
5204030420032
614253514020
72422402341
oct623216234
9240828273
10105716892
1154746736
122b4a2910
1318b95998
141007c7c8
1594337cc
hex64d1c9c

105716892 has 24 divisors (see below), whose sum is σ = 248248336. Its totient is φ = 35013888.

The previous prime is 105716887. The next prime is 105716903. The reversal of 105716892 is 298617501.

It is a super-2 number, since 2×1057168922 = 22352122508279328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105716892.

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, 26173 + ... + 29940.

Almost surely, 2105716892 is an apocalyptic number.

105716892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105716892 is an abundant number, since it is smaller than the sum of its proper divisors (142531444).

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

105716892 is a wasteful number, since it uses less digits than its factorization.

105716892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56277 (or 56275 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 105716892 is about 10281.8720085401. The cubic root of 105716892 is about 472.8406389981.

The spelling of 105716892 in words is "one hundred five million, seven hundred sixteen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 157 314 471 628 942 1884 56113 112226 168339 224452 336678 673356 8809741 17619482 26429223 35238964 52858446 105716892