104933760 has 256 divisors, whose sum is σ = 361912320. Its totient is φ = 25804800.

The previous prime is 104933753. The next prime is 104933761. The reversal of 104933760 is 67339401.

It is a super-2 number, since 2×104933760² = 22022187975475200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104933761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2440299 + ... + 2440341.

It is an arithmetic number, because the mean of its divisors is an integer number (1413720).

Almost surely, 2^104933760 is an apocalyptic number.

104933760 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 104933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180956160).

104933760 is an abundant number, since it is smaller than the sum of its proper divisors (256978560).

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

104933760 is a wasteful number, since it uses less digits than its factorization.

104933760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 104933760 is about 10243.7180749960. The cubic root of 104933760 is about 471.6701707978.

The spelling of 104933760 in words is "one hundred four million, nine hundred thirty-three thousand, seven hundred sixty".