105663613 has 12 divisors (see below), whose sum is σ = 116415964. Its totient is φ = 95832000.

The previous prime is 105663611. The next prime is 105663629. The reversal of 105663613 is 316366501.

It can be written as a sum of positive squares in 2 ways, for example, as 97357689 + 8305924 = 9867^2 + 2882^2 .

It is not a de Polignac number, because 105663613 - 2¹ = 105663611 is a prime.

It is a super-2 number, since 2×105663613² = 22329598224427538, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105663611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71995 + ... + 73447.

Almost surely, 2^105663613 is an apocalyptic number.

It is an amenable number.

105663613 is a deficient number, since it is larger than the sum of its proper divisors (10752351).

105663613 is a wasteful number, since it uses less digits than its factorization.

105663613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 105663613 is about 10279.2807627771. The cubic root of 105663613 is about 472.7611918720.

It can be divided in two parts, 105663 and 613, that added together give a square (106276 = 326²).

The spelling of 105663613 in words is "one hundred five million, six hundred sixty-three thousand, six hundred thirteen".