966505272100 has 81 divisors (see below), whose sum is σ = 2228330470387. Its totient is φ = 363797889280.

The previous prime is 966505272097. The next prime is 966505272137. The reversal of 966505272100 is 1272505669.

The square root of 966505272100 is 983110.

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 22607528164 + 943897743936 = 150358^2 + 971544^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 167125809 + ... + 167131591.

Almost surely, 2^966505272100 is an apocalyptic number.

966505272100 is the 983110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966505272100

966505272100 is an abundant number, since it is smaller than the sum of its proper divisors (1261825198287).

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

966505272100 is an equidigital number, since it uses as much as digits as its factorization.

966505272100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11614 (or 5807 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

Adding to 966505272100 its reverse (1272505669), we get a palindrome (967777777769).

The spelling of 966505272100 in words is "nine hundred sixty-six billion, five hundred five million, two hundred seventy-two thousand, one hundred".