102590790900 has 432 divisors, whose sum is σ = 332604086976. Its totient is φ = 24390512640.

The previous prime is 102590790899. The next prime is 102590790901. The reversal of 102590790900 is 9097095201.

It is an interprime number because it is at equal distance from previous prime (102590790899) and next prime (102590790901).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102590790901) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 196158039 + ... + 196158561.

It is an arithmetic number, because the mean of its divisors is an integer number (769916868).

Almost surely, 2^102590790900 is an apocalyptic number.

102590790900 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 102590790900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166302043488).

102590790900 is an abundant number, since it is smaller than the sum of its proper divisors (230013296076).

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

102590790900 is a wasteful number, since it uses less digits than its factorization.

102590790900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 42.

The spelling of 102590790900 in words is "one hundred two billion, five hundred ninety million, seven hundred ninety thousand, nine hundred".