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10106525538 = 232691781173
BaseRepresentation
bin10010110100110010…
…10101011101100010
3222002100012200200200
421122121111131202
5131144232304123
64350505530030
7505310023014
oct113231253542
928070180620
1010106525538
11431696324a
121b607a3916
13c50aa7235
146bc3721b4
153e2401143
hex25a655762

10106525538 has 24 divisors (see below), whose sum is σ = 21900907548. Its totient is φ = 3368313312.

The previous prime is 10106525531. The next prime is 10106525609. The reversal of 10106525538 is 83552560101.

It is a happy number.

10106525538 is a `hidden beast` number, since 10 + 106 + 5 + 2 + 5 + 538 = 666.

10106525538 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10076746689 + 29778849 = 100383^2 + 5457^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10106525531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83920 + ... + 165092.

Almost surely, 210106525538 is an apocalyptic number.

10106525538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10106525538 is an abundant number, since it is smaller than the sum of its proper divisors (11794382010).

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

10106525538 is a wasteful number, since it uses less digits than its factorization.

10106525538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88098 (or 88095 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 10106525538 in words is "ten billion, one hundred six million, five hundred twenty-five thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 6917 13834 20751 41502 62253 81173 124506 162346 243519 487038 730557 1461114 561473641 1122947282 1684420923 3368841846 5053262769 10106525538