102990720 has 256 divisors, whose sum is σ = 383846400. Its totient is φ = 23003136.

The previous prime is 102990703. The next prime is 102990733. The reversal of 102990720 is 27099201.

It is a super-2 number, since 2×102990720² = 21214176812236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061712 + ... + 1061808.

It is an arithmetic number, because the mean of its divisors is an integer number (1499400).

Almost surely, 2^102990720 is an apocalyptic number.

102990720 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 102990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191923200).

102990720 is an abundant number, since it is smaller than the sum of its proper divisors (280855680).

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

102990720 is an equidigital number, since it uses as much as digits as its factorization.

102990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 102990720 is about 10148.4343620088. The cubic root of 102990720 is about 468.7407365280.

The spelling of 102990720 in words is "one hundred two million, nine hundred ninety thousand, seven hundred twenty".