102457165293 has 36 divisors (see below), whose sum is σ = 172314235548. Its totient is φ = 58493111040.

The previous prime is 102457165253. The next prime is 102457165333. The reversal of 102457165293 is 392561754201.

102457165293 is a `hidden beast` number, since 1 + 0 + 24 + 571 + 6 + 52 + 9 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (102457165253) and next prime (102457165333).

It can be written as a sum of positive squares in 2 ways, for example, as 100792280484 + 1664884809 = 317478^2 + 40803^2 .

It is not a de Polignac number, because 102457165293 - 2⁶ = 102457165229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102457165253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 375733 + ... + 588293.

It is an arithmetic number, because the mean of its divisors is an integer number (4786506543).

Almost surely, 2^102457165293 is an apocalyptic number.

It is an amenable number.

102457165293 is a deficient number, since it is larger than the sum of its proper divisors (69857070255).

102457165293 is a wasteful number, since it uses less digits than its factorization.

102457165293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213674 (or 213664 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 102457165293 in words is "one hundred two billion, four hundred fifty-seven million, one hundred sixty-five thousand, two hundred ninety-three".