102109013160 has 512 divisors, whose sum is σ = 391188787200. Its totient is φ = 20707614720.

The previous prime is 102109013147. The next prime is 102109013179. The reversal of 102109013160 is 61310901201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102109013160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85589524 + ... + 85590716.

It is an arithmetic number, because the mean of its divisors is an integer number (764040600).

Almost surely, 2^102109013160 is an apocalyptic number.

102109013160 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 102109013160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195594393600).

102109013160 is an abundant number, since it is smaller than the sum of its proper divisors (289079774040).

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

102109013160 is a wasteful number, since it uses less digits than its factorization.

102109013160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

Adding to 102109013160 its reverse (61310901201), we get a palindrome (163419914361).

The spelling of 102109013160 in words is "one hundred two billion, one hundred nine million, thirteen thousand, one hundred sixty".