102973080397824 has 480 divisors, whose sum is σ = 378551266853760. Its totient is φ = 27157731508224.

The previous prime is 102973080397819. The next prime is 102973080397877. The reversal of 102973080397824 is 428793080379201.

102973080397824 is a `hidden beast` number, since 1 + 0 + 2 + 97 + 3 + 0 + 80 + 397 + 82 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11685157 + ... + 18506459.

It is an arithmetic number, because the mean of its divisors is an integer number (788648472612).

Almost surely, 2^{102973080397824} is an apocalyptic number.

102973080397824 is a gapful number since it is divisible by the number (14) 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 102973080397824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189275633426880).

102973080397824 is an abundant number, since it is smaller than the sum of its proper divisors (275578186455936).

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

102973080397824 is an equidigital number, since it uses as much as digits as its factorization.

102973080397824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6821357 (or 6821328 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 102973080397824 in words is "one hundred two trillion, nine hundred seventy-three billion, eighty million, three hundred ninety-seven thousand, eight hundred twenty-four".