102372390660096 has 336 divisors, whose sum is σ = 307210482879300. Its totient is φ = 34089808822272.

The previous prime is 102372390660091. The next prime is 102372390660101. The reversal of 102372390660096 is 690066093273201.

102372390660096 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 7 + 23 + 9 + 0 + 6 + 600 + 9 + 6 = 666.

102372390660096 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102372390660091) and next prime (102372390660101).

It can be written as a sum of positive squares in 2 ways, for example, as 87087418500096 + 15284972160000 = 9332064^2 + 3909600^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (102372390660091) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1506394950 + ... + 1506462906.

Almost surely, 2^{102372390660096} is an apocalyptic number.

102372390660096 is a gapful number since it is divisible by the number (16) 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 102372390660096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153605241439650).

102372390660096 is an abundant number, since it is smaller than the sum of its proper divisors (204838092219204).

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

102372390660096 is an frugal number, since it uses more digits than its factorization.

102372390660096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69006 (or 68971 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 102372390660096 in words is "one hundred two trillion, three hundred seventy-two billion, three hundred ninety million, six hundred sixty thousand, ninety-six".