102788120 has 64 divisors (see below), whose sum is σ = 248443200. Its totient is φ = 38133760.

The previous prime is 102788083. The next prime is 102788141. The reversal of 102788120 is 21887201.

It is a super-2 number, since 2×102788120² = 21130795226268800, which contains 22 as substring.

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, 47216 + ... + 49344.

It is an arithmetic number, because the mean of its divisors is an integer number (3881925).

Almost surely, 2^102788120 is an apocalyptic number.

102788120 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 102788120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124221600).

102788120 is an abundant number, since it is smaller than the sum of its proper divisors (145655080).

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

102788120 is a wasteful number, since it uses less digits than its factorization.

102788120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 102788120 is about 10138.4476129238. The cubic root of 102788120 is about 468.4331709102.

The spelling of 102788120 in words is "one hundred two million, seven hundred eighty-eight thousand, one hundred twenty".