102242313 has 12 divisors (see below), whose sum is σ = 152776260. Its totient is φ = 65810976.

The previous prime is 102242303. The next prime is 102242323. The reversal of 102242313 is 313242201.

It is an interprime number because it is at equal distance from previous prime (102242303) and next prime (102242323).

It can be written as a sum of positive squares in 2 ways, for example, as 39087504 + 63154809 = 6252^2 + 7947^2 .

It is not a de Polignac number, because 102242313 - 2⁴ = 102242297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102242303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195606 + ... + 196127.

It is an arithmetic number, because the mean of its divisors is an integer number (12731355).

Almost surely, 2^102242313 is an apocalyptic number.

It is an amenable number.

102242313 is a deficient number, since it is larger than the sum of its proper divisors (50533947).

102242313 is a wasteful number, since it uses less digits than its factorization.

102242313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391768 (or 391765 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102242313 is about 10111.4941032471. The cubic root of 102242313 is about 467.6025691235.

Adding to 102242313 its reverse (313242201), we get a palindrome (415484514).

The spelling of 102242313 in words is "one hundred two million, two hundred forty-two thousand, three hundred thirteen".