102804958740960 has 384 divisors, whose sum is σ = 419969198960640. Its totient is φ = 22998312640512.

The previous prime is 102804958740959. The next prime is 102804958740961. The reversal of 102804958740960 is 69047859408201.

102804958740960 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 0 + 4 + 9 + 587 + 40 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102804958740959) and next prime (102804958740961).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102804958740961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34745049 + ... + 37587608.

It is an arithmetic number, because the mean of its divisors is an integer number (1093669788960).

Almost surely, 2^{102804958740960} is an apocalyptic number.

102804958740960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102804958740960 is an abundant number, since it is smaller than the sum of its proper divisors (317164240219680).

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

102804958740960 is a wasteful number, since it uses less digits than its factorization.

102804958740960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72332735 (or 72332721 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 102804958740960 in words is "one hundred two trillion, eight hundred four billion, nine hundred fifty-eight million, seven hundred forty thousand, nine hundred sixty".