105873137 has 2 divisors, whose sum is σ = 105873138. Its totient is φ = 105873136.

The previous prime is 105873133. The next prime is 105873143. The reversal of 105873137 is 731378501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105657841 + 215296 = 10279^2 + 464^2 .

It is a cyclic number.

It is not a de Polignac number, because 105873137 - 2² = 105873133 is a prime.

It is a super-2 number, since 2×105873137² = 22418242276441538, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105873097 and 105873106.

It is not a weakly prime, because it can be changed into another prime (105873133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52936568 + 52936569.

It is an arithmetic number, because the mean of its divisors is an integer number (52936569).

Almost surely, 2^105873137 is an apocalyptic number.

It is an amenable number.

105873137 is a deficient number, since it is larger than the sum of its proper divisors (1).

105873137 is an equidigital number, since it uses as much as digits as its factorization.

105873137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 105873137 is about 10289.4672845585. The cubic root of 105873137 is about 473.0734703443.

The spelling of 105873137 in words is "one hundred five million, eight hundred seventy-three thousand, one hundred thirty-seven".