1108135182400 has 63 divisors (see below), whose sum is σ = 2726808747159. Its totient is φ = 443237230080.

The previous prime is 1108135182373. The next prime is 1108135182487. The reversal of 1108135182400 is 42815318011.

The square root of 1108135182400 is 1052680.

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 16842816 + 1108118339584 = 4104^2 + 1052672^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42094042 + ... + 42120358.

Almost surely, 2^{1108135182400} is an apocalyptic number.

1108135182400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1108135182400 is the 1052680-th square number.

It is an amenable number.

1108135182400 is an abundant number, since it is smaller than the sum of its proper divisors (1618673564759).

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

1108135182400 is an frugal number, since it uses more digits than its factorization.

1108135182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52656 (or 26324 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

The spelling of 1108135182400 in words is "one trillion, one hundred eight billion, one hundred thirty-five million, one hundred eighty-two thousand, four hundred".