102587016 has 64 divisors (see below), whose sum is σ = 294019200. Its totient is φ = 29219328.

The previous prime is 102587003. The next prime is 102587033. The reversal of 102587016 is 610785201.

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, 67966 + ... + 69458.

It is an arithmetic number, because the mean of its divisors is an integer number (4594050).

Almost surely, 2^102587016 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 102587016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147009600).

102587016 is an abundant number, since it is smaller than the sum of its proper divisors (191432184).

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

102587016 is a wasteful number, since it uses less digits than its factorization.

102587016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 102587016 is about 10128.5248679164. The cubic root of 102587016 is about 468.1274764145.

The spelling of 102587016 in words is "one hundred two million, five hundred eighty-seven thousand, sixteen".