104401600 has 84 divisors (see below), whose sum is σ = 268156944. Its totient is φ = 39930880.

The previous prime is 104401597. The next prime is 104401603. The reversal of 104401600 is 6104401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104401597) and next prime (104401603).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104401603) 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, 35382 + ... + 38218.

Almost surely, 2^104401600 is an apocalyptic number.

104401600 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 104401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134078472).

104401600 is an abundant number, since it is smaller than the sum of its proper divisors (163755344).

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

104401600 is a wasteful number, since it uses less digits than its factorization.

104401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 104401600 is about 10217.7101152851. The cubic root of 104401600 is about 470.8714780140.

The spelling of 104401600 in words is "one hundred four million, four hundred one thousand, six hundred".