104833488400 has 45 divisors (see below), whose sum is σ = 251878014471. Its totient is φ = 41930805120.

The previous prime is 104833488371. The next prime is 104833488421. The reversal of 104833488400 is 4884338401.

The square root of 104833488400 is 323780.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2801796624 + 102031691776 = 52932^2 + 319424^2 .

It is a super-2 number, since 2×104833488400² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6467506 + ... + 6483694.

Almost surely, 2^104833488400 is an apocalyptic number.

104833488400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104833488400 is the 323780-th square number.

It is an amenable number.

104833488400 is an abundant number, since it is smaller than the sum of its proper divisors (147044526071).

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

104833488400 is an frugal number, since it uses more digits than its factorization.

104833488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32396 (or 16196 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The spelling of 104833488400 in words is "one hundred four billion, eight hundred thirty-three million, four hundred eighty-eight thousand, four hundred".