102315906999893 has 2 divisors, whose sum is σ = 102315906999894. Its totient is φ = 102315906999892.

The previous prime is 102315906999863. The next prime is 102315906999923. The reversal of 102315906999893 is 398999609513201.

It is a balanced prime because it is at equal distance from previous prime (102315906999863) and next prime (102315906999923).

It can be written as a sum of positive squares in only one way, i.e., 70047224614084 + 32268682385809 = 8369422^2 + 5680553^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102315906999893 is a prime.

It is a super-2 number, since 2×102315906999893² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102315906999893.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102315906999863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51157953499946 + 51157953499947.

It is an arithmetic number, because the mean of its divisors is an integer number (51157953499947).

Almost surely, 2^{102315906999893} is an apocalyptic number.

It is an amenable number.

102315906999893 is a deficient number, since it is larger than the sum of its proper divisors (1).

102315906999893 is an equidigital number, since it uses as much as digits as its factorization.

102315906999893 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 255091680, while the sum is 74.

The spelling of 102315906999893 in words is "one hundred two trillion, three hundred fifteen billion, nine hundred six million, nine hundred ninety-nine thousand, eight hundred ninety-three".