102135864 has 64 divisors (see below), whose sum is σ = 272160000. Its totient is φ = 31829504.

The previous prime is 102135857. The next prime is 102135871. The reversal of 102135864 is 468531201.

It is an interprime number because it is at equal distance from previous prime (102135857) and next prime (102135871).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67387 + ... + 68885.

It is an arithmetic number, because the mean of its divisors is an integer number (4252500).

Almost surely, 2^102135864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102135864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080000).

102135864 is an abundant number, since it is smaller than the sum of its proper divisors (170024136).

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

102135864 is a wasteful number, since it uses less digits than its factorization.

102135864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 102135864 is about 10106.2289702935. The cubic root of 102135864 is about 467.4402321907.

The spelling of 102135864 in words is "one hundred two million, one hundred thirty-five thousand, eight hundred sixty-four".