102996188130 has 128 divisors (see below), whose sum is σ = 271593907200. Its totient is φ = 24790519040.

The previous prime is 102996188093. The next prime is 102996188131. The reversal of 102996188130 is 31881699201.

It is a self number, because there is not a number n which added to its sum of digits gives 102996188130.

It is not an unprimeable number, because it can be changed into a prime (102996188131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38159521 + ... + 38162219.

It is an arithmetic number, because the mean of its divisors is an integer number (2121827400).

Almost surely, 2^102996188130 is an apocalyptic number.

102996188130 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 102996188130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135796953600).

102996188130 is an abundant number, since it is smaller than the sum of its proper divisors (168597719070).

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

102996188130 is a wasteful number, since it uses less digits than its factorization.

102996188130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504.

The product of its (nonzero) digits is 186624, while the sum is 48.

Subtracting from 102996188130 its reverse (31881699201), we obtain a square (71114488929 = 266673²).

The spelling of 102996188130 in words is "one hundred two billion, nine hundred ninety-six million, one hundred eighty-eight thousand, one hundred thirty".