104232414400 has 84 divisors (see below), whose sum is σ = 256598856880. Its totient is φ = 41673139200.

The previous prime is 104232414371. The next prime is 104232414401. The reversal of 104232414400 is 4414232401.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (104232414401) 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, 3616045 + ... + 3644755.

Almost surely, 2^104232414400 is an apocalyptic number.

104232414400 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 104232414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128299428440).

104232414400 is an abundant number, since it is smaller than the sum of its proper divisors (152366442480).

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

104232414400 is a wasteful number, since it uses less digits than its factorization.

104232414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31002 (or 30987 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 104232414400 its reverse (4414232401), we get a palindrome (108646646801).

The spelling of 104232414400 in words is "one hundred four billion, two hundred thirty-two million, four hundred fourteen thousand, four hundred".