105191413 has 8 divisors (see below), whose sum is σ = 106131128. Its totient is φ = 104255424.

The previous prime is 105191377. The next prime is 105191417. The reversal of 105191413 is 314191501.

It can be written as a sum of positive squares in 4 ways, for example, as 6646084 + 98545329 = 2578^2 + 9927^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105191413 is a prime.

It is a super-2 number, since 2×105191413² = 22130466737873138, 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 (105191417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95695 + ... + 96787.

It is an arithmetic number, because the mean of its divisors is an integer number (13266391).

Almost surely, 2^105191413 is an apocalyptic number.

It is an amenable number.

105191413 is a deficient number, since it is larger than the sum of its proper divisors (939715).

105191413 is a wasteful number, since it uses less digits than its factorization.

105191413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863.

The product of its (nonzero) digits is 540, while the sum is 25.

The square root of 105191413 is about 10256.2865112086. The cubic root of 105191413 is about 472.0558995487.

The spelling of 105191413 in words is "one hundred five million, one hundred ninety-one thousand, four hundred thirteen".