100104704000 has 832 divisors, whose sum is σ = 317956534272. Its totient is φ = 30670848000.

The previous prime is 100104703997. The next prime is 100104704023. The reversal of 100104704000 is 407401001.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 100104704000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1888767974 + ... + 1888768026.

It is an arithmetic number, because the mean of its divisors is an integer number (382159296).

Almost surely, 2^100104704000 is an apocalyptic number.

100104704000 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 100104704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158978267136).

100104704000 is an abundant number, since it is smaller than the sum of its proper divisors (217851830272).

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

100104704000 is an equidigital number, since it uses as much as digits as its factorization.

100104704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The spelling of 100104704000 in words is "one hundred billion, one hundred four million, seven hundred four thousand".