102792690 has 288 divisors, whose sum is σ = 367488576. Its totient is φ = 19595520.

The previous prime is 102792647. The next prime is 102792707. The reversal of 102792690 is 96297201.

It is a super-2 number, since 2×102792690² = 21132674234872200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 630549 + ... + 630711.

It is an arithmetic number, because the mean of its divisors is an integer number (1276002).

Almost surely, 2^102792690 is an apocalyptic number.

102792690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102792690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183744288).

102792690 is an abundant number, since it is smaller than the sum of its proper divisors (264695886).

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

102792690 is a wasteful number, since it uses less digits than its factorization.

102792690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 102792690 is about 10138.6729900910. The cubic root of 102792690 is about 468.4401130480.

The spelling of 102792690 in words is "one hundred two million, seven hundred ninety-two thousand, six hundred ninety".