10000157 has 8 divisors (see below), whose sum is σ = 10516440. Its totient is φ = 9495360.

The previous prime is 10000141. The next prime is 10000169. The reversal of 10000157 is 75100001.

10000157 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 630436 + 9369721 = 794^2 + 3061^2 .

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 10000157 - 2⁴ = 10000141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1058 + ... + 4595.

It is an arithmetic number, because the mean of its divisors is an integer number (1314555).

Almost surely, 2^10000157 is an apocalyptic number.

It is an amenable number.

10000157 is a deficient number, since it is larger than the sum of its proper divisors (516283).

10000157 is an equidigital number, since it uses as much as digits as its factorization.

10000157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5743.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 10000157 is about 3162.3024839506. The cubic root of 10000157 is about 215.4445964848. Note that the first 3 decimals are identical.

Adding to 10000157 its reverse (75100001), we get a palindrome (85100158).

The spelling of 10000157 in words is "ten million, one hundred fifty-seven", and thus it is an aban number.