102538361 has 2 divisors, whose sum is σ = 102538362. Its totient is φ = 102538360.

The previous prime is 102538343. The next prime is 102538363. The reversal of 102538361 is 163835201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97614400 + 4923961 = 9880^2 + 2219^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102538361 is a prime.

It is a super-3 number, since 3×102538361³ (a number of 25 digits) contains 333 as substring.

Together with 102538363, it forms a pair of twin primes.

It is a Chen prime.

It is a pancake number, because a pancake can be divided into 102538361 parts by 14320 straight cuts.

It is not a weakly prime, because it can be changed into another prime (102538363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51269180 + 51269181.

It is an arithmetic number, because the mean of its divisors is an integer number (51269181).

Almost surely, 2^102538361 is an apocalyptic number.

It is an amenable number.

102538361 is a deficient number, since it is larger than the sum of its proper divisors (1).

102538361 is an equidigital number, since it uses as much as digits as its factorization.

102538361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 102538361 is about 10126.1227031870. The cubic root of 102538361 is about 468.0534568323.

The spelling of 102538361 in words is "one hundred two million, five hundred thirty-eight thousand, three hundred sixty-one".