102352593 has 16 divisors (see below), whose sum is σ = 158910336. Its totient is φ = 57383040.

The previous prime is 102352589. The next prime is 102352633. The reversal of 102352593 is 395253201.

It is not a de Polignac number, because 102352593 - 2² = 102352589 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102352593.

It is not an unprimeable number, because it can be changed into a prime (102352543) 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 15 ways as a sum of consecutive naturals, for example, 44868 + ... + 47093.

It is an arithmetic number, because the mean of its divisors is an integer number (9931896).

Almost surely, 2^102352593 is an apocalyptic number.

It is an amenable number.

102352593 is a deficient number, since it is larger than the sum of its proper divisors (56557743).

102352593 is an equidigital number, since it uses as much as digits as its factorization.

102352593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92024.

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 102352593 is about 10116.9458336002. The cubic root of 102352593 is about 467.7706296213.

The spelling of 102352593 in words is "one hundred two million, three hundred fifty-two thousand, five hundred ninety-three".