102990817160 has 128 divisors (see below), whose sum is σ = 290640752640. Its totient is φ = 31908652800.

The previous prime is 102990817159. The next prime is 102990817229. The reversal of 102990817160 is 61718099201.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 414245 + ... + 614475.

It is an arithmetic number, because the mean of its divisors is an integer number (2270630880).

Almost surely, 2^102990817160 is an apocalyptic number.

102990817160 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 102990817160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145320376320).

102990817160 is an abundant number, since it is smaller than the sum of its proper divisors (187649935480).

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

102990817160 is a wasteful number, since it uses less digits than its factorization.

102990817160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200427 (or 200423 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 44.

The spelling of 102990817160 in words is "one hundred two billion, nine hundred ninety million, eight hundred seventeen thousand, one hundred sixty".