102788160 has 56 divisors (see below), whose sum is σ = 326355456. Its totient is φ = 27409920.

The previous prime is 102788149. The next prime is 102788177. The reversal of 102788160 is 61887201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52576 + ... + 54495.

It is an arithmetic number, because the mean of its divisors is an integer number (5827776).

Almost surely, 2^102788160 is an apocalyptic number.

102788160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102788160 is an abundant number, since it is smaller than the sum of its proper divisors (223567296).

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

102788160 is a wasteful number, since it uses less digits than its factorization.

102788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107091 (or 107081 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 102788160 is about 10138.4495856122. The cubic root of 102788160 is about 468.4332316738.

The spelling of 102788160 in words is "one hundred two million, seven hundred eighty-eight thousand, one hundred sixty".