102115860 has 288 divisors, whose sum is σ = 384362496. Its totient is φ = 19641600.

The previous prime is 102115807. The next prime is 102115879. The reversal of 102115860 is 68511201.

It is a self number, because there is not a number n which added to its sum of digits gives 102115860.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3294045 + ... + 3294075.

It is an arithmetic number, because the mean of its divisors is an integer number (1334592).

Almost surely, 2^102115860 is an apocalyptic number.

102115860 is a gapful number since it is divisible by the number (10) 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 102115860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192181248).

102115860 is an abundant number, since it is smaller than the sum of its proper divisors (282246636).

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

102115860 is a wasteful number, since it uses less digits than its factorization.

102115860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 102115860 is about 10105.2392351691. The cubic root of 102115860 is about 467.4097130875.

The spelling of 102115860 in words is "one hundred two million, one hundred fifteen thousand, eight hundred sixty".