104933104332 has 192 divisors, whose sum is σ = 304455352320. Its totient is φ = 27468612864.

The previous prime is 104933104321. The next prime is 104933104349. The reversal of 104933104332 is 233401339401.

It is a super-2 number, since 2×104933104332² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104933104293 and 104933104302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7108183 + ... + 7122929.

It is an arithmetic number, because the mean of its divisors is an integer number (1585704960).

Almost surely, 2^104933104332 is an apocalyptic number.

104933104332 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 104933104332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152227676160).

104933104332 is an abundant number, since it is smaller than the sum of its proper divisors (199522247988).

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

104933104332 is a wasteful number, since it uses less digits than its factorization.

104933104332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14940 (or 14938 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 104933104332 in words is "one hundred four billion, nine hundred thirty-three million, one hundred four thousand, three hundred thirty-two".