959243948100 has 81 divisors (see below), whose sum is σ = 3006788963997. Its totient is φ = 255790550880.

The previous prime is 959243948087. The next prime is 959243948141. The reversal of 959243948100 is 1849342959.

The square root of 959243948100 is 979410.

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

959243948100 is a `hidden beast` number, since 9 + 592 + 4 + 3 + 9 + 48 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 345327821316 + 613916126784 = 587646^2 + 783528^2 .

It is a super-2 number, since 2×959243948100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29365977 + ... + 29398623.

Almost surely, 2^959243948100 is an apocalyptic number.

959243948100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

959243948100 is the 979410-th square number.

It is an amenable number.

959243948100 is an abundant number, since it is smaller than the sum of its proper divisors (2047545015897).

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

959243948100 is an equidigital number, since it uses as much as digits as its factorization.

959243948100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65314 (or 32657 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 959243948100 in words is "nine hundred fifty-nine billion, two hundred forty-three million, nine hundred forty-eight thousand, one hundred".