102113257 has 2 divisors, whose sum is σ = 102113258. Its totient is φ = 102113256.

The previous prime is 102113251. The next prime is 102113279. The reversal of 102113257 is 752311201.

It is a happy number.

It is an a-pointer prime, because the next prime (102113279) can be obtained adding 102113257 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101929216 + 184041 = 10096^2 + 429^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102113257 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102113251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056628 + 51056629.

It is an arithmetic number, because the mean of its divisors is an integer number (51056629).

Almost surely, 2^102113257 is an apocalyptic number.

It is an amenable number.

102113257 is a deficient number, since it is larger than the sum of its proper divisors (1).

102113257 is an equidigital number, since it uses as much as digits as its factorization.

102113257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 102113257 is about 10105.1104397725. The cubic root of 102113257 is about 467.4057415274.

Adding to 102113257 its reverse (752311201), we get a palindrome (854424458).

The spelling of 102113257 in words is "one hundred two million, one hundred thirteen thousand, two hundred fifty-seven".