102753137 has 2 divisors, whose sum is σ = 102753138. Its totient is φ = 102753136.

The previous prime is 102753089. The next prime is 102753149. The reversal of 102753137 is 731357201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102738496 + 14641 = 10136^2 + 121^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102753137 is a prime.

It is not a weakly prime, because it can be changed into another prime (102753037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51376568 + 51376569.

It is an arithmetic number, because the mean of its divisors is an integer number (51376569).

Almost surely, 2^102753137 is an apocalyptic number.

It is an amenable number.

102753137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102753137 is an equidigital number, since it uses as much as digits as its factorization.

102753137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4410, while the sum is 29.

The square root of 102753137 is about 10136.7222019744. The cubic root of 102753137 is about 468.3800225598.

The spelling of 102753137 in words is "one hundred two million, seven hundred fifty-three thousand, one hundred thirty-seven".