104959806112000 has 288 divisors, whose sum is σ = 299486379628800. Its totient is φ = 35906037350400.

The previous prime is 104959806111959. The next prime is 104959806112087. The reversal of 104959806112000 is 211608959401.

It is a happy number.

It is a super-2 number, since 2×104959806112000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100054207 + ... + 101097793.

It is an arithmetic number, because the mean of its divisors is an integer number (1039883262600).

Almost surely, 2^{104959806112000} is an apocalyptic number.

104959806112000 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 104959806112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149743189814400).

104959806112000 is an abundant number, since it is smaller than the sum of its proper divisors (194526573516800).

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

104959806112000 is an equidigital number, since it uses as much as digits as its factorization.

104959806112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044074 (or 1044050 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The spelling of 104959806112000 in words is "one hundred four trillion, nine hundred fifty-nine billion, eight hundred six million, one hundred twelve thousand".