10045764 has 36 divisors (see below), whose sum is σ = 25556076. Its totient is φ = 3327168.

The previous prime is 10045757. The next prime is 10045769. The reversal of 10045764 is 46754001.

It can be written as a sum of positive squares in 2 ways, for example, as 7884864 + 2160900 = 2808^2 + 1470^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10045769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5422 + ... + 7034.

It is an arithmetic number, because the mean of its divisors is an integer number (709891).

Almost surely, 2^10045764 is an apocalyptic number.

It is an amenable number.

10045764 is an abundant number, since it is smaller than the sum of its proper divisors (15510312).

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

10045764 is a wasteful number, since it uses less digits than its factorization.

10045764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10045764 is about 3169.5053241792. The cubic root of 10045764 is about 215.7716207571.

Adding to 10045764 its reverse (46754001), we get a palindrome (56799765).

The spelling of 10045764 in words is "ten million, forty-five thousand, seven hundred sixty-four".