102373056000 has 480 divisors, whose sum is σ = 370846764288. Its totient is φ = 27142963200.

The previous prime is 102373055999. The next prime is 102373056011. The reversal of 102373056000 is 650373201.

It is a happy number.

102373056000 is a `hidden beast` number, since 1 + 0 + 23 + 7 + 30 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128447602 + ... + 128448398.

Almost surely, 2^102373056000 is an apocalyptic number.

102373056000 is a gapful number since it is divisible by the number (10) 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 102373056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185423382144).

102373056000 is an abundant number, since it is smaller than the sum of its proper divisors (268473708288).

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

102373056000 is an equidigital number, since it uses as much as digits as its factorization.

102373056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 102373056000 in words is "one hundred two billion, three hundred seventy-three million, fifty-six thousand".