104890476342960 has 960 divisors, whose sum is σ = 445517001086976. Its totient is φ = 21482960486400.

The previous prime is 104890476342931. The next prime is 104890476342983. The reversal of 104890476342960 is 69243674098401.

It is a happy number.

104890476342960 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 90 + 4 + 7 + 63 + 429 + 60 = 666.

It is a super-2 number, since 2×104890476342960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1133868069 + ... + 1133960571.

Almost surely, 2^{104890476342960} is an apocalyptic number.

104890476342960 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 104890476342960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222758500543488).

104890476342960 is an abundant number, since it is smaller than the sum of its proper divisors (340626524744016).

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

104890476342960 is a wasteful number, since it uses less digits than its factorization.

104890476342960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92834 (or 92825 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 104890476342960 in words is "one hundred four trillion, eight hundred ninety billion, four hundred seventy-six million, three hundred forty-two thousand, nine hundred sixty".