966662576100 has 243 divisors, whose sum is σ = 3282253893009. Its totient is φ = 237853324800.

The previous prime is 966662576083. The next prime is 966662576119. The reversal of 966662576100 is 1675266669.

The square root of 966662576100 is 983190.

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

It can be written as a sum of positive squares in 13 ways, for example, as 740938765284 + 225723810816 = 860778^2 + 475104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 383442840 + ... + 383445360.

Almost surely, 2^966662576100 is an apocalyptic number.

966662576100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

966662576100 is the 983190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966662576100

966662576100 is an abundant number, since it is smaller than the sum of its proper divisors (2315591316909).

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

966662576100 is a wasteful number, since it uses less digits than its factorization.

966662576100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5088 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 966662576100 in words is "nine hundred sixty-six billion, six hundred sixty-two million, five hundred seventy-six thousand, one hundred".