104597074800 has 360 divisors, whose sum is σ = 384264691200. Its totient is φ = 26273825280.

The previous prime is 104597074783. The next prime is 104597074801. The reversal of 104597074800 is 8470795401.

It is a happy number.

104597074800 is a `hidden beast` number, since 10 + 4 + 597 + 0 + 7 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104597074801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12239329 + ... + 12247871.

It is an arithmetic number, because the mean of its divisors is an integer number (1067401920).

Almost surely, 2^104597074800 is an apocalyptic number.

104597074800 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 104597074800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192132345600).

104597074800 is an abundant number, since it is smaller than the sum of its proper divisors (279667616400).

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

104597074800 is a wasteful number, since it uses less digits than its factorization.

104597074800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8765 (or 8751 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 104597074800 in words is "one hundred four billion, five hundred ninety-seven million, seventy-four thousand, eight hundred".