104003972352 has 216 divisors, whose sum is σ = 357772766400. Its totient is φ = 29715323904.

The previous prime is 104003972321. The next prime is 104003972357. The reversal of 104003972352 is 253279300401.

104003972352 is a `hidden beast` number, since 10 + 400 + 3 + 9 + 7 + 235 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104003972357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185149 + ... + 492227.

It is an arithmetic number, because the mean of its divisors is an integer number (1656355400).

Almost surely, 2^104003972352 is an apocalyptic number.

104003972352 is a gapful number since it is divisible by the number (12) 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 104003972352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178886383200).

104003972352 is an abundant number, since it is smaller than the sum of its proper divisors (253768794048).

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

104003972352 is an equidigital number, since it uses as much as digits as its factorization.

104003972352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307118 (or 307091 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 104003972352 in words is "one hundred four billion, three million, nine hundred seventy-two thousand, three hundred fifty-two".