102563136 has 84 divisors (see below), whose sum is σ = 316615572. Its totient is φ = 31555584.

The previous prime is 102563129. The next prime is 102563147. The reversal of 102563136 is 631365201.

102563136 is a `hidden beast` number, since 1 + 0 + 25 + 631 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7617600 + 94945536 = 2760^2 + 9744^2 .

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 11 ways as a sum of consecutive naturals, for example, 640 + ... + 14336.

It is an arithmetic number, because the mean of its divisors is an integer number (3769233).

Almost surely, 2^102563136 is an apocalyptic number.

102563136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158307786).

102563136 is an abundant number, since it is smaller than the sum of its proper divisors (214052436).

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

102563136 is a wasteful number, since it uses less digits than its factorization.

102563136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13728 (or 13715 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 102563136 is about 10127.3459504453. The cubic root of 102563136 is about 468.0911503371.

The spelling of 102563136 in words is "one hundred two million, five hundred sixty-three thousand, one hundred thirty-six".