104469600 has 288 divisors, whose sum is σ = 374976000. Its totient is φ = 25159680.

The previous prime is 104469593. The next prime is 104469667. The reversal of 104469600 is 6964401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1322361 + ... + 1322439.

It is an arithmetic number, because the mean of its divisors is an integer number (1302000).

Almost surely, 2^104469600 is an apocalyptic number.

104469600 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 104469600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

104469600 is an abundant number, since it is smaller than the sum of its proper divisors (270506400).

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

104469600 is a wasteful number, since it uses less digits than its factorization.

104469600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 104469600 is about 10221.0371293720. The cubic root of 104469600 is about 470.9736868924.

The spelling of 104469600 in words is "one hundred four million, four hundred sixty-nine thousand, six hundred".