100105013 has 4 divisors (see below), whose sum is σ = 103556940. Its totient is φ = 96653088.

The previous prime is 100105009. The next prime is 100105037. The reversal of 100105013 is 310501001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 35736484 + 64368529 = 5978^2 + 8023^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105013 - 2² = 100105009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100104985 and 100105003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1725920 + ... + 1725977.

It is an arithmetic number, because the mean of its divisors is an integer number (25889235).

Almost surely, 2^100105013 is an apocalyptic number.

It is an amenable number.

100105013 is a deficient number, since it is larger than the sum of its proper divisors (3451927).

100105013 is an equidigital number, since it uses as much as digits as its factorization.

100105013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451926.

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 100105013 is about 10005.2492722570. The cubic root of 100105013 is about 464.3213022436.

Adding to 100105013 its reverse (310501001), we get a palindrome (410606014).

The spelling of 100105013 in words is "one hundred million, one hundred five thousand, thirteen".