952864100 has 18 divisors (see below), whose sum is σ = 2067715314. Its totient is φ = 381145600.

The previous prime is 952864061. The next prime is 952864123. The reversal of 952864100 is 1468259.

952864100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 279357796 + 673506304 = 16714^2 + 25952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4764221 + ... + 4764420.

It is an arithmetic number, because the mean of its divisors is an integer number (114873073).

Almost surely, 2^952864100 is an apocalyptic number.

It is an amenable number.

952864100 is an abundant number, since it is smaller than the sum of its proper divisors (1114851214).

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

952864100 is a wasteful number, since it uses less digits than its factorization.

952864100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9528655 (or 9528648 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 952864100 is about 30868.4968859839. The cubic root of 952864100 is about 984.0344924235.

The spelling of 952864100 in words is "nine hundred fifty-two million, eight hundred sixty-four thousand, one hundred".