100973376000 has 960 divisors, whose sum is σ = 422231546880. Its totient is φ = 22715596800.

The previous prime is 100973375999. The next prime is 100973376011. The reversal of 100973376000 is 673379001.

100973376000 is a `hidden beast` number, since 10 + 0 + 9 + 7 + 3 + 37 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318527842 + ... + 318528158.

It is an arithmetic number, because the mean of its divisors is an integer number (439824528).

Almost surely, 2^100973376000 is an apocalyptic number.

100973376000 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 100973376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211115773440).

100973376000 is an abundant number, since it is smaller than the sum of its proper divisors (321258170880).

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

100973376000 is an equidigital number, since it uses as much as digits as its factorization.

100973376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The spelling of 100973376000 in words is "one hundred billion, nine hundred seventy-three million, three hundred seventy-six thousand".