10100964 has 24 divisors (see below), whose sum is σ = 23623488. Its totient is φ = 3359200.

The previous prime is 10100953. The next prime is 10100999. The reversal of 10100964 is 46900101.

It is a self number, because there is not a number n which added to its sum of digits gives 10100964.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7114 + ... + 8414.

It is an arithmetic number, because the mean of its divisors is an integer number (984312).

Almost surely, 2^10100964 is an apocalyptic number.

It is an amenable number.

10100964 is an abundant number, since it is smaller than the sum of its proper divisors (13522524).

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

10100964 is a wasteful number, since it uses less digits than its factorization.

10100964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10100964 is about 3178.2013781383. The cubic root of 10100964 is about 216.1661102210.

The spelling of 10100964 in words is "ten million, one hundred thousand, nine hundred sixty-four".