1114892100 has 405 divisors, whose sum is σ = 4284906087. Its totient is φ = 250024320.

The previous prime is 1114892071. The next prime is 1114892111. The reversal of 1114892100 is 12984111.

The square root of 1114892100 is 33390.

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 8398404 + 1106493696 = 2898^2 + 33264^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 21035674 + ... + 21035726.

Almost surely, 2^1114892100 is an apocalyptic number.

1114892100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1114892100 is the 33390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114892100

1114892100 is an abundant number, since it is smaller than the sum of its proper divisors (3170013987).

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

1114892100 is a wasteful number, since it uses less digits than its factorization.

1114892100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The cubic root of 1114892100 is about 1036.9176797045.

Multiplying 1114892100 by its product of nonzero digits (576), we get a square (642177849600 = 801360²).

The spelling of 1114892100 in words is "one billion, one hundred fourteen million, eight hundred ninety-two thousand, one hundred".