102947023872 has 792 divisors, whose sum is σ = 386774918400. Its totient is φ = 26605117440.

The previous prime is 102947023841. The next prime is 102947023877. The reversal of 102947023872 is 278320749201.

102947023872 is a `hidden beast` number, since 102 + 9 + 470 + 2 + 3 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is not an unprimeable number, because it can be changed into a prime (102947023877) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 517321629 + ... + 517321827.

Almost surely, 2^102947023872 is an apocalyptic number.

102947023872 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 102947023872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193387459200).

102947023872 is an abundant number, since it is smaller than the sum of its proper divisors (283827894528).

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

102947023872 is an frugal number, since it uses more digits than its factorization.

102947023872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 102947023872 in words is "one hundred two billion, nine hundred forty-seven million, twenty-three thousand, eight hundred seventy-two".