10157013460 has 72 divisors (see below), whose sum is σ = 24824295720. Its totient is φ = 3476183040.

The previous prime is 10157013457. The next prime is 10157013469. The reversal of 10157013460 is 6431075101.

It can be written as a sum of positive squares in 4 ways, for example, as 3652268356 + 6504745104 = 60434^2 + 80652^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10157013469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82305 + ... + 164584.

It is an arithmetic number, because the mean of its divisors is an integer number (344781885).

Almost surely, 2^10157013460 is an apocalyptic number.

10157013460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10157013460 is an abundant number, since it is smaller than the sum of its proper divisors (14667282260).

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

10157013460 is a wasteful number, since it uses less digits than its factorization.

10157013460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246937 (or 246924 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

Adding to 10157013460 its reverse (6431075101), we get a palindrome (16588088561).

The spelling of 10157013460 in words is "ten billion, one hundred fifty-seven million, thirteen thousand, four hundred sixty".