102976864320 has 224 divisors, whose sum is σ = 358474060800. Its totient is φ = 24838133760.

The previous prime is 102976864313. The next prime is 102976864327. The reversal of 102976864320 is 23468679201.

It is an interprime number because it is at equal distance from previous prime (102976864313) and next prime (102976864327).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 102976864320.

It is not an unprimeable number, because it can be changed into a prime (102976864327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2076939 + ... + 2125941.

Almost surely, 2^102976864320 is an apocalyptic number.

102976864320 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 102976864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179237030400).

102976864320 is an abundant number, since it is smaller than the sum of its proper divisors (255497196480).

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

102976864320 is a wasteful number, since it uses less digits than its factorization.

102976864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49233 (or 49223 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 102976864320 in words is "one hundred two billion, nine hundred seventy-six million, eight hundred sixty-four thousand, three hundred twenty".