104910800 has 60 divisors (see below), whose sum is σ = 258236076. Its totient is φ = 40934400.

The previous prime is 104910769. The next prime is 104910809. The reversal of 104910800 is 8019401.

It can be written as a sum of positive squares in 6 ways, for example, as 51093904 + 53816896 = 7148^2 + 7336^2 .

It is a super-2 number, since 2×104910800² = 22012551913280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104910809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13202 + ... + 19598.

Almost surely, 2^104910800 is an apocalyptic number.

104910800 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 104910800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129118038).

104910800 is an abundant number, since it is smaller than the sum of its proper divisors (153325276).

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

104910800 is a wasteful number, since it uses less digits than its factorization.

104910800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6456 (or 6445 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 104910800 is about 10242.5973268503. The cubic root of 104910800 is about 471.6357670715.

The spelling of 104910800 in words is "one hundred four million, nine hundred ten thousand, eight hundred".