102816037 has 2 divisors, whose sum is σ = 102816038. Its totient is φ = 102816036.

The previous prime is 102816031. The next prime is 102816067. The reversal of 102816037 is 730618201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84162276 + 18653761 = 9174^2 + 4319^2 .

It is an emirp because it is prime and its reverse (730618201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102816037 is a prime.

It is a super-2 number, since 2×102816037² = 21142274928770738, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 102815996 and 102816014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102816031) 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, 51408018 + 51408019.

It is an arithmetic number, because the mean of its divisors is an integer number (51408019).

Almost surely, 2^102816037 is an apocalyptic number.

It is an amenable number.

102816037 is a deficient number, since it is larger than the sum of its proper divisors (1).

102816037 is an equidigital number, since it uses as much as digits as its factorization.

102816037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 102816037 is about 10139.8243081426. The cubic root of 102816037 is about 468.4755755029.

The spelling of 102816037 in words is "one hundred two million, eight hundred sixteen thousand, thirty-seven".