104016400 has 60 divisors (see below), whose sum is σ = 250890192. Its totient is φ = 41441920.

The previous prime is 104016391. The next prime is 104016401. The reversal of 104016400 is 4610401.

It is a happy number.

It is a super-2 number, since 2×104016400² = 21638822937920000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (104016401) 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, 176907 + ... + 177493.

Almost surely, 2^104016400 is an apocalyptic number.

104016400 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 104016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125445096).

104016400 is an abundant number, since it is smaller than the sum of its proper divisors (146873792).

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

104016400 is a wasteful number, since it uses less digits than its factorization.

104016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1037 counting only the distinct ones).

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

The square root of 104016400 is about 10198.8430716430. The cubic root of 104016400 is about 470.2916554045.

Adding to 104016400 its reverse (4610401), we get a palindrome (108626801).

The spelling of 104016400 in words is "one hundred four million, sixteen thousand, four hundred".