10157436967 has 8 divisors (see below), whose sum is σ = 10510133760. Its totient is φ = 9806305080.

The previous prime is 10157436941. The next prime is 10157436973. The reversal of 10157436967 is 76963475101.

10157436967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10157436967 - 2²³ = 10149048359 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10157436967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10157431967) 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 7 ways as a sum of consecutive naturals, for example, 378013 + ... + 403990.

It is an arithmetic number, because the mean of its divisors is an integer number (1313766720).

Almost surely, 2^10157436967 is an apocalyptic number.

10157436967 is a deficient number, since it is larger than the sum of its proper divisors (352696793).

10157436967 is an equidigital number, since it uses as much as digits as its factorization.

10157436967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782453.

The product of its (nonzero) digits is 952560, while the sum is 49.

The spelling of 10157436967 in words is "ten billion, one hundred fifty-seven million, four hundred thirty-six thousand, nine hundred sixty-seven".