105637897 has 2 divisors, whose sum is σ = 105637898. Its totient is φ = 105637896.

The previous prime is 105637879. The next prime is 105637951. The reversal of 105637897 is 798736501.

Together with previous prime (105637879) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84989961 + 20647936 = 9219^2 + 4544^2 .

It is a cyclic number.

It is not a de Polignac number, because 105637897 - 2¹⁹ = 105113609 is a prime.

It is a super-2 number, since 2×105637897² = 22318730565165218, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105637837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52818948 + 52818949.

It is an arithmetic number, because the mean of its divisors is an integer number (52818949).

Almost surely, 2^105637897 is an apocalyptic number.

It is an amenable number.

105637897 is a deficient number, since it is larger than the sum of its proper divisors (1).

105637897 is an equidigital number, since it uses as much as digits as its factorization.

105637897 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 317520, while the sum is 46.

The square root of 105637897 is about 10278.0298209336. The cubic root of 105637897 is about 472.7228358323.

The spelling of 105637897 in words is "one hundred five million, six hundred thirty-seven thousand, eight hundred ninety-seven".