105132013 has 4 divisors (see below), whose sum is σ = 120150880. Its totient is φ = 90113148.

The previous prime is 105131993. The next prime is 105132017. The reversal of 105132013 is 310231501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 310231501 = 2221 ⋅139681.

It is a cyclic number.

It is not a de Polignac number, because 105132013 - 2⁵ = 105131981 is a prime.

It is a super-2 number, since 2×105132013² = 22105480314864338, 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 (105132017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7509423 + ... + 7509436.

It is an arithmetic number, because the mean of its divisors is an integer number (30037720).

Almost surely, 2^105132013 is an apocalyptic number.

It is an amenable number.

105132013 is a deficient number, since it is larger than the sum of its proper divisors (15018867).

105132013 is an equidigital number, since it uses as much as digits as its factorization.

105132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15018866.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 105132013 is about 10253.3903173536. The cubic root of 105132013 is about 471.9670285429.

Adding to 105132013 its reverse (310231501), we get a palindrome (415363514).

The spelling of 105132013 in words is "one hundred five million, one hundred thirty-two thousand, thirteen".