104621420685600 has 8640 divisors, whose sum is σ = 544533210144000. Its totient is φ = 19348459683840.

The previous prime is 104621420685577. The next prime is 104621420685643. The reversal of 104621420685600 is 6586024126401.

It is a happy number.

104621420685600 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 2 + 1 + 4 + 20 + 68 + 560 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 1773244418371 + ... + 1773244418429.

It is an arithmetic number, because the mean of its divisors is an integer number (63024677100).

Almost surely, 2^{104621420685600} is an apocalyptic number.

104621420685600 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 104621420685600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272266605072000).

104621420685600 is an abundant number, since it is smaller than the sum of its proper divisors (439911789458400).

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

104621420685600 is a wasteful number, since it uses less digits than its factorization.

104621420685600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 104621420685600 in words is "one hundred four trillion, six hundred twenty-one billion, four hundred twenty million, six hundred eighty-five thousand, six hundred".