102374263610000 has 100 divisors (see below), whose sum is σ = 248430761218332. Its totient is φ = 40855131648000.

The previous prime is 102374263609987. The next prime is 102374263610027. The reversal of 102374263610000 is 16362473201.

It can be written as a sum of positive squares in 10 ways, for example, as 95231601134224 + 7142662475776 = 9758668^2 + 2672576^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7491509 + ... + 16151508.

Almost surely, 2^{102374263610000} is an apocalyptic number.

102374263610000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102374263610000 is an abundant number, since it is smaller than the sum of its proper divisors (146056497608332).

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

102374263610000 is an equidigital number, since it uses as much as digits as its factorization.

102374263610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23643478 (or 23643457 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 102374263610000 in words is "one hundred two trillion, three hundred seventy-four billion, two hundred sixty-three million, six hundred ten thousand".