102079593 has 54 divisors (see below), whose sum is σ = 188630442. Its totient is φ = 53000640.

The previous prime is 102079573. The next prime is 102079597. The reversal of 102079593 is 395970201.

It can be written as a sum of positive squares in only one way, i.e., 98664489 + 3415104 = 9933^2 + 1848^2 .

It is not a de Polignac number, because 102079593 - 2⁵ = 102079561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102079597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 52405 + ... + 54317.

Almost surely, 2^102079593 is an apocalyptic number.

It is an amenable number.

102079593 is a deficient number, since it is larger than the sum of its proper divisors (86550849).

102079593 is a wasteful number, since it uses less digits than its factorization.

102079593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 102079593 is about 10103.4446106266. Note that the first 3 decimals coincide. The cubic root of 102079593 is about 467.3543721729.

The spelling of 102079593 in words is "one hundred two million, seventy-nine thousand, five hundred ninety-three".