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105639256900 = 22521056392569
BaseRepresentation
bin110001001100010010…
…1110010001101000100
3101002200011220021102101
41202120211302031010
53212322122210100
6120310251521444
710426560603502
oct1423045621504
9332604807371
10105639256900
114088a6742a1
1218582459284
139c66c30448
145181da7672
152b3436586a
hex1898972344

105639256900 has 18 divisors (see below), whose sum is σ = 229237187690. Its totient is φ = 42255702720.

The previous prime is 105639256897. The next prime is 105639256969. The reversal of 105639256900 is 9652936501.

It can be written as a sum of positive squares in 3 ways, for example, as 13959895104 + 91679361796 = 118152^2 + 302786^2 .

It is a super-2 number, since 2×1056392569002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 528196185 + ... + 528196384.

Almost surely, 2105639256900 is an apocalyptic number.

105639256900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105639256900 is an abundant number, since it is smaller than the sum of its proper divisors (123597930790).

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

105639256900 is a wasteful number, since it uses less digits than its factorization.

105639256900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056392583 (or 1056392576 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 46.

The spelling of 105639256900 in words is "one hundred five billion, six hundred thirty-nine million, two hundred fifty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1056392569 2112785138 4225570276 5281962845 10563925690 21127851380 26409814225 52819628450 105639256900