10157535 has 32 divisors (see below), whose sum is σ = 18343680. Its totient is φ = 5331744.

The previous prime is 10157531. The next prime is 10157611. The reversal of 10157535 is 53575101.

It is not a de Polignac number, because 10157535 - 2² = 10157531 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10157499 and 10157508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10157531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8484 + ... + 9606.

It is an arithmetic number, because the mean of its divisors is an integer number (573240).

Almost surely, 2^10157535 is an apocalyptic number.

10157535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10157535 is a deficient number, since it is larger than the sum of its proper divisors (8186145).

10157535 is a wasteful number, since it uses less digits than its factorization.

10157535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 10157535 is about 3187.0887970058. The cubic root of 10157535 is about 216.5689092198.

The spelling of 10157535 in words is "ten million, one hundred fifty-seven thousand, five hundred thirty-five".