104951976192 has 432 divisors, whose sum is σ = 354568264960. Its totient is φ = 29238755328.

The previous prime is 104951976187. The next prime is 104951976221. The reversal of 104951976192 is 291679159401.

It is a happy number.

104951976192 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 5 + 19 + 7 + 619 + 2 = 666.

It is a super-2 number, since 2×104951976192² (a number of 23 digits) contains 22 as substring.

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, 114201909 + ... + 114202827.

Almost surely, 2^104951976192 is an apocalyptic number.

104951976192 is a gapful number since it is divisible by the number (12) 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 104951976192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177284132480).

104951976192 is an abundant number, since it is smaller than the sum of its proper divisors (249616288768).

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

104951976192 is an equidigital number, since it uses as much as digits as its factorization.

104951976192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 104951976192 in words is "one hundred four billion, nine hundred fifty-one million, nine hundred seventy-six thousand, one hundred ninety-two".