102131819 has 2 divisors, whose sum is σ = 102131820. Its totient is φ = 102131818.

The previous prime is 102131789. The next prime is 102131833. The reversal of 102131819 is 918131201.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102131819 is a prime.

It is a super-2 number, since 2×102131819² = 20861816904497522, which contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (102131119) 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, 51065909 + 51065910.

It is an arithmetic number, because the mean of its divisors is an integer number (51065910).

Almost surely, 2^102131819 is an apocalyptic number.

102131819 is a deficient number, since it is larger than the sum of its proper divisors (1).

102131819 is an equidigital number, since it uses as much as digits as its factorization.

102131819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 26.

The square root of 102131819 is about 10106.0288442098. The cubic root of 102131819 is about 467.4340612578.

The spelling of 102131819 in words is "one hundred two million, one hundred thirty-one thousand, eight hundred nineteen".