105148113 has 16 divisors (see below), whose sum is σ = 165751680. Its totient is φ = 58012416.

The previous prime is 105148103. The next prime is 105148123. The reversal of 105148113 is 311841501.

It is an interprime number because it is at equal distance from previous prime (105148103) and next prime (105148123).

It is not a de Polignac number, because 105148113 - 2¹⁴ = 105131729 is a prime.

It is a super-2 number, since 2×105148113² = 22112251334921538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105148103) 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 15 ways as a sum of consecutive naturals, for example, 85720 + ... + 86937.

It is an arithmetic number, because the mean of its divisors is an integer number (10359480).

Almost surely, 2^105148113 is an apocalyptic number.

It is an amenable number.

105148113 is a deficient number, since it is larger than the sum of its proper divisors (60603567).

105148113 is a wasteful number, since it uses less digits than its factorization.

105148113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172696.

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 105148113 is about 10254.1753934678. The cubic root of 105148113 is about 471.9911197817.

Adding to 105148113 its reverse (311841501), we get a palindrome (416989614).

The spelling of 105148113 in words is "one hundred five million, one hundred forty-eight thousand, one hundred thirteen".