102113993 has 2 divisors, whose sum is σ = 102113994. Its totient is φ = 102113992.

The previous prime is 102113989. The next prime is 102114011. The reversal of 102113993 is 399311201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90878089 + 11235904 = 9533^2 + 3352^2 .

It is a cyclic number.

It is not a de Polignac number, because 102113993 - 2² = 102113989 is a prime.

It is not a weakly prime, because it can be changed into another prime (102113983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056996 + 51056997.

It is an arithmetic number, because the mean of its divisors is an integer number (51056997).

Almost surely, 2^102113993 is an apocalyptic number.

It is an amenable number.

102113993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102113993 is an equidigital number, since it uses as much as digits as its factorization.

102113993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 29.

The square root of 102113993 is about 10105.1468569240. The cubic root of 102113993 is about 467.4068644955.

The spelling of 102113993 in words is "one hundred two million, one hundred thirteen thousand, nine hundred ninety-three".