Search a number
-
+
105806112 = 2531102147
BaseRepresentation
bin1100100111001…
…11100100100000
321101002111200220
412103213210200
5204041243422
614255443040
72423223426
oct623474440
9241074626
10105806112
11547a7775
122b526480
1318bc7489
14100a3116
15944ee5c
hex64e7920

105806112 has 24 divisors (see below), whose sum is σ = 277741296. Its totient is φ = 35268672.

The previous prime is 105806093. The next prime is 105806143. The reversal of 105806112 is 211608501.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1058061122 = 22389866673113088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 550978 + ... + 551169.

It is an arithmetic number, because the mean of its divisors is an integer number (11572554).

Almost surely, 2105806112 is an apocalyptic number.

105806112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105806112 is an abundant number, since it is smaller than the sum of its proper divisors (171935184).

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

105806112 is a wasteful number, since it uses less digits than its factorization.

105806112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102160 (or 1102152 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 105806112 is about 10286.2097975882. The cubic root of 105806112 is about 472.9736198891.

The spelling of 105806112 in words is "one hundred five million, eight hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1102147 2204294 3306441 4408588 6612882 8817176 13225764 17634352 26451528 35268704 52903056 105806112