105013109 has 2 divisors, whose sum is σ = 105013110. Its totient is φ = 105013108.

The previous prime is 105013091. The next prime is 105013127. The reversal of 105013109 is 901310501.

Together with previous prime (105013091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (105013091) and next prime (105013127).

It can be written as a sum of positive squares in only one way, i.e., 105001009 + 12100 = 10247^2 + 110^2 .

It is a cyclic number.

It is not a de Polignac number, because 105013109 - 2²⁰ = 103964533 is a prime.

It is a super-2 number, since 2×105013109² = 22055506123691762, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105013159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52506554 + 52506555.

It is an arithmetic number, because the mean of its divisors is an integer number (52506555).

Almost surely, 2^105013109 is an apocalyptic number.

It is an amenable number.

105013109 is a deficient number, since it is larger than the sum of its proper divisors (1).

105013109 is an equidigital number, since it uses as much as digits as its factorization.

105013109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135, while the sum is 20.

The square root of 105013109 is about 10247.5903996988. The cubic root of 105013109 is about 471.7890303100.

The spelling of 105013109 in words is "one hundred five million, thirteen thousand, one hundred nine".