102991749680 has 80 divisors (see below), whose sum is σ = 254581652160. Its totient is φ = 38662001664.

The previous prime is 102991749671. The next prime is 102991749691. The reversal of 102991749680 is 86947199201.

102991749680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 430535 + ... + 625574.

It is an arithmetic number, because the mean of its divisors is an integer number (3182270652).

Almost surely, 2^102991749680 is an apocalyptic number.

102991749680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102991749680 is an abundant number, since it is smaller than the sum of its proper divisors (151589902480).

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

102991749680 is a wasteful number, since it uses less digits than its factorization.

102991749680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056198 (or 1056192 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 56.

The spelling of 102991749680 in words is "one hundred two billion, nine hundred ninety-one million, seven hundred forty-nine thousand, six hundred eighty".