105649513 has 2 divisors, whose sum is σ = 105649514. Its totient is φ = 105649512.

The previous prime is 105649483. The next prime is 105649517. The reversal of 105649513 is 315946501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86359849 + 19289664 = 9293^2 + 4392^2 .

It is a cyclic number.

It is not a de Polignac number, because 105649513 - 2²⁵ = 72095081 is a prime.

It is a super-2 number, since 2×105649513² = 22323639194274338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105649517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52824756 + 52824757.

It is an arithmetic number, because the mean of its divisors is an integer number (52824757).

Almost surely, 2^105649513 is an apocalyptic number.

It is an amenable number.

105649513 is a deficient number, since it is larger than the sum of its proper divisors (1).

105649513 is an equidigital number, since it uses as much as digits as its factorization.

105649513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 105649513 is about 10278.5948942450. The cubic root of 105649513 is about 472.7401621497.

The spelling of 105649513 in words is "one hundred five million, six hundred forty-nine thousand, five hundred thirteen".