105133613 has 16 divisors (see below), whose sum is σ = 120306480. Its totient is φ = 91155456.

The previous prime is 105133603. The next prime is 105133619. The reversal of 105133613 is 316331501.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9604 + 105124009 = 98^2 + 10253^2 .

It is a cyclic number.

It is not a de Polignac number, because 105133613 - 2¹⁰ = 105132589 is a prime.

It is a super-2 number, since 2×105133613² = 22106153164867538, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105133619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10181 + ... + 17717.

It is an arithmetic number, because the mean of its divisors is an integer number (7519155).

Almost surely, 2^105133613 is an apocalyptic number.

105133613 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105133613 is a deficient number, since it is larger than the sum of its proper divisors (15172867).

105133613 is a wasteful number, since it uses less digits than its factorization.

105133613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7616.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 105133613 is about 10253.4683400301. The cubic root of 105133613 is about 471.9694228133.

The spelling of 105133613 in words is "one hundred five million, one hundred thirty-three thousand, six hundred thirteen".