102930953472 has 360 divisors, whose sum is σ = 316020714240. Its totient is φ = 33303674880.

The previous prime is 102930953471. The next prime is 102930953513. The reversal of 102930953472 is 274359039201.

102930953472 is a `hidden beast` number, since 1 + 0 + 2 + 93 + 0 + 95 + 3 + 472 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102930953471) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 214886929 + ... + 214887407.

Almost surely, 2^102930953472 is an apocalyptic number.

102930953472 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 102930953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158010357120).

102930953472 is an abundant number, since it is smaller than the sum of its proper divisors (213089760768).

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

102930953472 is an equidigital number, since it uses as much as digits as its factorization.

102930953472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 102930953472 in words is "one hundred two billion, nine hundred thirty million, nine hundred fifty-three thousand, four hundred seventy-two".