104721477120 has 480 divisors, whose sum is σ = 393796795392. Its totient is φ = 25565331456.

The previous prime is 104721477103. The next prime is 104721477139. The reversal of 104721477120 is 21774127401.

It is a happy number.

104721477120 is a `hidden beast` number, since 1 + 0 + 47 + 21 + 477 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38037664 + ... + 38040416.

Almost surely, 2^104721477120 is an apocalyptic number.

104721477120 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 104721477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196898397696).

104721477120 is an abundant number, since it is smaller than the sum of its proper divisors (289075318272).

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

104721477120 is a wasteful number, since it uses less digits than its factorization.

104721477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 104721477120 in words is "one hundred four billion, seven hundred twenty-one million, four hundred seventy-seven thousand, one hundred twenty".