105116537 has 2 divisors, whose sum is σ = 105116538. Its totient is φ = 105116536.

The previous prime is 105116533. The next prime is 105116551. The reversal of 105116537 is 735611501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102495376 + 2621161 = 10124^2 + 1619^2 .

It is a cyclic number.

It is not a de Polignac number, because 105116537 - 2² = 105116533 is a prime.

It is a super-2 number, since 2×105116537² = 22098972701744738, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105116533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52558268 + 52558269.

It is an arithmetic number, because the mean of its divisors is an integer number (52558269).

Almost surely, 2^105116537 is an apocalyptic number.

It is an amenable number.

105116537 is a deficient number, since it is larger than the sum of its proper divisors (1).

105116537 is an equidigital number, since it uses as much as digits as its factorization.

105116537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3150, while the sum is 29.

The square root of 105116537 is about 10252.6356123682. The cubic root of 105116537 is about 471.9438687080.

The spelling of 105116537 in words is "one hundred five million, one hundred sixteen thousand, five hundred thirty-seven".