966588100 has 27 divisors (see below), whose sum is σ = 2098171047. Its totient is φ = 386510880.

The previous prime is 966588061. The next prime is 966588137. The reversal of 966588100 is 1885669.

The square root of 966588100 is 31090.

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 216266436 + 750321664 = 14706^2 + 27392^2 .

It is a super-2 number, since 2×966588100² = 1868585110123220000, which 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 (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 309346 + ... + 312454.

Almost surely, 2^966588100 is an apocalyptic number.

966588100 is the 31090-th square number.

It is an amenable number.

966588100 is an abundant number, since it is smaller than the sum of its proper divisors (1131582947).

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

966588100 is an equidigital number, since it uses as much as digits as its factorization.

966588100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The cubic root of 966588100 is about 988.7363055316.

The spelling of 966588100 in words is "nine hundred sixty-six million, five hundred eighty-eight thousand, one hundred".