105146013 has 24 divisors (see below), whose sum is σ = 163567200. Its totient is φ = 59905440.

The previous prime is 105146009. The next prime is 105146021. The reversal of 105146013 is 310641501.

It is not a de Polignac number, because 105146013 - 2² = 105146009 is a prime.

It is a super-2 number, since 2×105146013² = 22111368099592338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105146023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61038 + ... + 62736.

It is an arithmetic number, because the mean of its divisors is an integer number (6815300).

Almost surely, 2^105146013 is an apocalyptic number.

It is an amenable number.

105146013 is a deficient number, since it is larger than the sum of its proper divisors (58421187).

105146013 is a wasteful number, since it uses less digits than its factorization.

105146013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105146013 is about 10254.0729956442. The cubic root of 105146013 is about 471.9879775857.

Adding to 105146013 its reverse (310641501), we get a palindrome (415787514).

The spelling of 105146013 in words is "one hundred five million, one hundred forty-six thousand, thirteen".