104303161600 has 243 divisors, whose sum is σ = 284545245621. Its totient is φ = 37825075200.

The previous prime is 104303161583. The next prime is 104303161607. The reversal of 104303161600 is 6161303401.

It is a happy number.

The square root of 104303161600 is 322960.

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

It can be written as a sum of positive squares in only one way, i.e., 37549138176 + 66754023424 = 193776^2 + 258368^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104303161607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 284204617 + ... + 284204983.

Almost surely, 2^104303161600 is an apocalyptic number.

104303161600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104303161600 is the 322960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104303161600

104303161600 is an abundant number, since it is smaller than the sum of its proper divisors (180242084021).

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

104303161600 is an frugal number, since it uses more digits than its factorization.

104303161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Multiplying 104303161600 by its sum of digits (25), we get a square (2607579040000 = 1614800²).

104303161600 divided by its sum of digits (25) gives a square (4172126464 = 64592²).

Multiplying 104303161600 by its product of nonzero digits (1296), we get a square (135176897433600 = 11626560²).

The spelling of 104303161600 in words is "one hundred four billion, three hundred three million, one hundred sixty-one thousand, six hundred".