104959800 has 480 divisors, whose sum is σ = 432115200. Its totient is φ = 23328000.

The previous prime is 104959763. The next prime is 104959801. The reversal of 104959800 is 8959401.

It is a super-2 number, since 2×104959800² = 22033119232080000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104959801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3385785 + ... + 3385815.

It is an arithmetic number, because the mean of its divisors is an integer number (900240).

Almost surely, 2^104959800 is an apocalyptic number.

104959800 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 104959800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216057600).

104959800 is an abundant number, since it is smaller than the sum of its proper divisors (327155400).

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

104959800 is a wasteful number, since it uses less digits than its factorization.

104959800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 104959800 is about 10244.9890190278. The cubic root of 104959800 is about 471.7091835852.

The spelling of 104959800 in words is "one hundred four million, nine hundred fifty-nine thousand, eight hundred".