104532476400 has 1200 divisors, whose sum is σ = 441250115328. Its totient is φ = 23514624000.

The previous prime is 104532476393. The next prime is 104532476431. The reversal of 104532476400 is 4674235401.

104532476400 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 3 + 2 + 4 + 7 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1472288365 + ... + 1472288435.

Almost surely, 2^104532476400 is an apocalyptic number.

104532476400 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 104532476400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220625057664).

104532476400 is an abundant number, since it is smaller than the sum of its proper divisors (336717638928).

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

104532476400 is an equidigital number, since it uses as much as digits as its factorization.

104532476400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 104532476400 in words is "one hundred four billion, five hundred thirty-two million, four hundred seventy-six thousand, four hundred".