104374569600 has 1536 divisors, whose sum is σ = 475969536000. Its totient is φ = 21797683200.

The previous prime is 104374569589. The next prime is 104374569601. The reversal of 104374569600 is 6965473401.

104374569600 is a `hidden beast` number, since 1 + 0 + 4 + 37 + 4 + 5 + 6 + 9 + 600 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (104374569601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 356227054 + ... + 356227346.

It is an arithmetic number, because the mean of its divisors is an integer number (309876000).

Almost surely, 2^104374569600 is an apocalyptic number.

104374569600 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 104374569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237984768000).

104374569600 is an abundant number, since it is smaller than the sum of its proper divisors (371594966400).

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

104374569600 is a wasteful number, since it uses less digits than its factorization.

104374569600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 104374569600 in words is "one hundred four billion, three hundred seventy-four million, five hundred sixty-nine thousand, six hundred".