1050891516900 has 81 divisors (see below), whose sum is σ = 3294057476073. Its totient is φ = 280229536800.

The previous prime is 1050891516889. The next prime is 1050891516953. The reversal of 1050891516900 is 96151980501.

The square root of 1050891516900 is 1025130.

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

1050891516900 is a `hidden beast` number, since 1 + 0 + 50 + 89 + 1 + 516 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 378320946084 + 672570570816 = 615078^2 + 820104^2 .

It is a super-2 number, since 2×1050891516900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30736815 + ... + 30770985.

Almost surely, 2^{1050891516900} is an apocalyptic number.

1050891516900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1050891516900 is the 1025130-th square number.

It is an amenable number.

1050891516900 is an abundant number, since it is smaller than the sum of its proper divisors (2243165959173).

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

1050891516900 is an frugal number, since it uses more digits than its factorization.

1050891516900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68362 (or 34181 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 45.

The spelling of 1050891516900 in words is "one trillion, fifty billion, eight hundred ninety-one million, five hundred sixteen thousand, nine hundred".