104993280 has 480 divisors, whose sum is σ = 447828480. Its totient is φ = 23224320.

The previous prime is 104993263. The next prime is 104993281. The reversal of 104993280 is 82399401.

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

It is a super-2 number, since 2×104993280² = 22047177690316800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (104993281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386865 + ... + 3386895.

It is an arithmetic number, because the mean of its divisors is an integer number (932976).

Almost surely, 2^104993280 is an apocalyptic number.

104993280 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 104993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223914240).

104993280 is an abundant number, since it is smaller than the sum of its proper divisors (342835200).

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

104993280 is an equidigital number, since it uses as much as digits as its factorization.

104993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 104993280 is about 10246.6228582885. The cubic root of 104993280 is about 471.7593334031.

The spelling of 104993280 in words is "one hundred four million, nine hundred ninety-three thousand, two hundred eighty".