104044953600 has 945 divisors, whose sum is σ = 448385563857. Its totient is φ = 23781703680.

The previous prime is 104044953577. The next prime is 104044953611. The reversal of 104044953600 is 6359440401.

The square root of 104044953600 is 322560.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (8!)² ⋅ (2!)⁶.

104044953600 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 4 + 49 + 5 + 3 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37456183296 + 66588770304 = 193536^2 + 258048^2 .

It is a tau number, because it is divible by the number of its divisors (945).

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14863564797 + ... + 14863564803.

Almost surely, 2^104044953600 is an apocalyptic number.

104044953600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104044953600 is the 322560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104044953600

104044953600 is an abundant number, since it is smaller than the sum of its proper divisors (344340610257).

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

104044953600 is an frugal number, since it uses more digits than its factorization.

104044953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 104044953600 by its sum of digits (36), we get a square (3745618329600 = 1935360²).

104044953600 divided by its sum of digits (36) gives a square (2890137600 = 53760²).

The spelling of 104044953600 in words is "one hundred four billion, forty-four million, nine hundred fifty-three thousand, six hundred".