105634513 has 2 divisors, whose sum is σ = 105634514. Its totient is φ = 105634512.

The previous prime is 105634499. The next prime is 105634537. The reversal of 105634513 is 315436501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60031504 + 45603009 = 7748^2 + 6753^2 .

It is a cyclic number.

It is not a de Polignac number, because 105634513 - 2²⁵ = 72080081 is a prime.

It is a super-2 number, since 2×105634513² = 22317300673494338, which contains 22 as substring.

It is equal to p_6067027 and since 105634513 and 6067027 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105637513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52817256 + 52817257.

It is an arithmetic number, because the mean of its divisors is an integer number (52817257).

Almost surely, 2^105634513 is an apocalyptic number.

It is an amenable number.

105634513 is a deficient number, since it is larger than the sum of its proper divisors (1).

105634513 is an equidigital number, since it uses as much as digits as its factorization.

105634513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 105634513 is about 10277.8651966252. The cubic root of 105634513 is about 472.7177880505.

The spelling of 105634513 in words is "one hundred five million, six hundred thirty-four thousand, five hundred thirteen".