102976193998512 has 160 divisors (see below), whose sum is σ = 306186015936000. Its totient is φ = 33096913839360.

The previous prime is 102976193998471. The next prime is 102976193998537. The reversal of 102976193998512 is 215899391679201.

102976193998512 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 7 + 6 + 19 + 3 + 9 + 98 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3696837 + ... + 14819547.

It is an arithmetic number, because the mean of its divisors is an integer number (1913662599600).

Almost surely, 2^{102976193998512} is an apocalyptic number.

102976193998512 is a gapful number since it is divisible by the number (12) 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 102976193998512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153093007968000).

102976193998512 is an abundant number, since it is smaller than the sum of its proper divisors (203209821937488).

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

102976193998512 is a wasteful number, since it uses less digits than its factorization.

102976193998512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11123496 (or 11123484 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 72.

The spelling of 102976193998512 in words is "one hundred two trillion, nine hundred seventy-six billion, one hundred ninety-three million, nine hundred ninety-eight thousand, five hundred twelve".