102713157 has 32 divisors (see below), whose sum is σ = 158371200. Its totient is φ = 65713536.

The previous prime is 102713153. The next prime is 102713161. The reversal of 102713157 is 751317201.

102713157 = 114² + 115² + ... + 676².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102713153) and next prime (102713161).

It is not a de Polignac number, because 102713157 - 2² = 102713153 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102713157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102713153) 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, 182158 + ... + 182720.

It is an arithmetic number, because the mean of its divisors is an integer number (4949100).

Almost surely, 2^102713157 is an apocalyptic number.

It is an amenable number.

102713157 is a deficient number, since it is larger than the sum of its proper divisors (55658043).

102713157 is a wasteful number, since it uses less digits than its factorization.

102713157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 102713157 is about 10134.7499722489. The cubic root of 102713157 is about 468.3192676832.

The spelling of 102713157 in words is "one hundred two million, seven hundred thirteen thousand, one hundred fifty-seven".