102139993 has 2 divisors, whose sum is σ = 102139994. Its totient is φ = 102139992.

The previous prime is 102139967. The next prime is 102140011. The reversal of 102139993 is 399931201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85599504 + 16540489 = 9252^2 + 4067^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102139993 is a prime.

It is not a weakly prime, because it can be changed into another prime (102139903) 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, 51069996 + 51069997.

It is an arithmetic number, because the mean of its divisors is an integer number (51069997).

Almost surely, 2^102139993 is an apocalyptic number.

It is an amenable number.

102139993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102139993 is an equidigital number, since it uses as much as digits as its factorization.

102139993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 37.

The square root of 102139993 is about 10106.4332481840. The cubic root of 102139993 is about 467.4465311036.

It can be divided in two parts, 1021 and 39993, that added together give a palindrome (41014).

The spelling of 102139993 in words is "one hundred two million, one hundred thirty-nine thousand, nine hundred ninety-three".