104514032400 has 240 divisors, whose sum is σ = 349027327488. Its totient is φ = 26703360000.

The previous prime is 104514032341. The next prime is 104514032443. The reversal of 104514032400 is 4230415401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3743292 + ... + 3771108.

Almost surely, 2^104514032400 is an apocalyptic number.

104514032400 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 104514032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174513663744).

104514032400 is an abundant number, since it is smaller than the sum of its proper divisors (244513295088).

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

104514032400 is a wasteful number, since it uses less digits than its factorization.

104514032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27970 (or 27959 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 104514032400 its reverse (4230415401), we get a palindrome (108744447801).

The spelling of 104514032400 in words is "one hundred four billion, five hundred fourteen million, thirty-two thousand, four hundred".