102734062992 has 320 divisors, whose sum is σ = 351611781120. Its totient is φ = 28354406400.

The previous prime is 102734062967. The next prime is 102734063011. The reversal of 102734062992 is 299260437201.

102734062992 is a `hidden beast` number, since 10 + 2 + 7 + 3 + 4 + 0 + 629 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2483793 + ... + 2524815.

It is an arithmetic number, because the mean of its divisors is an integer number (1098786816).

Almost surely, 2^102734062992 is an apocalyptic number.

102734062992 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 102734062992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175805890560).

102734062992 is an abundant number, since it is smaller than the sum of its proper divisors (248877718128).

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

102734062992 is a wasteful number, since it uses less digits than its factorization.

102734062992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41099 (or 41087 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 102734062992 in words is "one hundred two billion, seven hundred thirty-four million, sixty-two thousand, nine hundred ninety-two".