104948800 has 168 divisors, whose sum is σ = 289133280. Its totient is φ = 37171200.

The previous prime is 104948773. The next prime is 104948801. The reversal of 104948800 is 8849401.

It is a super-2 number, since 2×104948800² = 22028501242880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104948801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1179156 + ... + 1179244.

Almost surely, 2^104948800 is an apocalyptic number.

104948800 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 104948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144566640).

104948800 is an abundant number, since it is smaller than the sum of its proper divisors (184184480).

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

104948800 is a wasteful number, since it uses less digits than its factorization.

104948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 104948800 is about 10244.4521571434. The cubic root of 104948800 is about 471.6927043163.

The spelling of 104948800 in words is "one hundred four million, nine hundred forty-eight thousand, eight hundred".