102815088 has 80 divisors (see below), whose sum is σ = 272232576. Its totient is φ = 33429760.

The previous prime is 102815077. The next prime is 102815113. The reversal of 102815088 is 880518201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521806 + ... + 522002.

Almost surely, 2^102815088 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 102815088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136116288).

102815088 is an abundant number, since it is smaller than the sum of its proper divisors (169417488).

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

102815088 is a wasteful number, since it uses less digits than its factorization.

102815088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 33.

The square root of 102815088 is about 10139.7775123520. Note that the first 3 decimals coincide. The cubic root of 102815088 is about 468.4741341432.

The spelling of 102815088 in words is "one hundred two million, eight hundred fifteen thousand, eighty-eight".