10164957765 has 16 divisors (see below), whose sum is σ = 16824758400. Its totient is φ = 5234368832.

The previous prime is 10164957731. The next prime is 10164957767. The reversal of 10164957765 is 56775946101.

It is a happy number.

10164957765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10164957765 - 2¹⁰ = 10164956741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10164957767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11683425 + ... + 11684294.

It is an arithmetic number, because the mean of its divisors is an integer number (1051547400).

Almost surely, 2^10164957765 is an apocalyptic number.

10164957765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10164957765 is a deficient number, since it is larger than the sum of its proper divisors (6659800635).

10164957765 is a wasteful number, since it uses less digits than its factorization.

10164957765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23367756.

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 10164957765 in words is "ten billion, one hundred sixty-four million, nine hundred fifty-seven thousand, seven hundred sixty-five".