104993300 has 72 divisors (see below), whose sum is σ = 236234880. Its totient is φ = 40480000.

The previous prime is 104993293. The next prime is 104993323. The reversal of 104993300 is 3399401.

It is a super-2 number, since 2×104993300² = 22047186089780000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418175 + ... + 418425.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2^104993300 is an apocalyptic number.

104993300 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 104993300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118117440).

104993300 is an abundant number, since it is smaller than the sum of its proper divisors (131241580).

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

104993300 is a wasteful number, since it uses less digits than its factorization.

104993300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 104993300 is about 10246.6238342197. The cubic root of 104993300 is about 471.7593633580.

It can be divided in two parts, 1049 and 93300, that added together give a palindrome (94349).

The spelling of 104993300 in words is "one hundred four million, nine hundred ninety-three thousand, three hundred".