102993731 has 2 divisors, whose sum is σ = 102993732. Its totient is φ = 102993730.

The previous prime is 102993721. The next prime is 102993733. The reversal of 102993731 is 137399201.

It is a strong prime.

It is an emirp because it is prime and its reverse (137399201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102993731 - 2²⁶ = 35884867 is a prime.

It is a super-2 number, since 2×102993731² = 21215417250600722, which contains 22 as substring.

Together with 102993733, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 102993691 and 102993700.

It is not a weakly prime, because it can be changed into another prime (102993733) 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 as a sum of consecutive naturals, namely, 51496865 + 51496866.

It is an arithmetic number, because the mean of its divisors is an integer number (51496866).

Almost surely, 2^102993731 is an apocalyptic number.

102993731 is a deficient number, since it is larger than the sum of its proper divisors (1).

102993731 is an equidigital number, since it uses as much as digits as its factorization.

102993731 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 35.

The square root of 102993731 is about 10148.5827089303. The cubic root of 102993731 is about 468.7453044626.

The spelling of 102993731 in words is "one hundred two million, nine hundred ninety-three thousand, seven hundred thirty-one".