102599993 has 2 divisors, whose sum is σ = 102599994. Its totient is φ = 102599992.

The previous prime is 102599977. The next prime is 102600011. The reversal of 102599993 is 399995201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74425129 + 28174864 = 8627^2 + 5308^2 .

It is a cyclic number.

It is not a de Polignac number, because 102599993 - 2⁴ = 102599977 is a prime.

It is not a weakly prime, because it can be changed into another prime (102599923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51299996 + 51299997.

It is an arithmetic number, because the mean of its divisors is an integer number (51299997).

Almost surely, 2^102599993 is an apocalyptic number.

It is an amenable number.

102599993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102599993 is an equidigital number, since it uses as much as digits as its factorization.

102599993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 196830, while the sum is 47.

The square root of 102599993 is about 10129.1654641436. The cubic root of 102599993 is about 468.1472145657.

The spelling of 102599993 in words is "one hundred two million, five hundred ninety-nine thousand, nine hundred ninety-three".