105088913 has 2 divisors, whose sum is σ = 105088914. Its totient is φ = 105088912.

The previous prime is 105088891. The next prime is 105088933. The reversal of 105088913 is 319880501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61105489 + 43983424 = 7817^2 + 6632^2 .

It is a cyclic number.

It is not a de Polignac number, because 105088913 - 2¹⁰ = 105087889 is a prime.

It is a super-2 number, since 2×105088913² = 22087359271043138, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105088933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52544456 + 52544457.

It is an arithmetic number, because the mean of its divisors is an integer number (52544457).

Almost surely, 2^105088913 is an apocalyptic number.

It is an amenable number.

105088913 is a deficient number, since it is larger than the sum of its proper divisors (1).

105088913 is an equidigital number, since it uses as much as digits as its factorization.

105088913 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8640, while the sum is 35.

The square root of 105088913 is about 10251.2883580553. The cubic root of 105088913 is about 471.9025237399.

The spelling of 105088913 in words is "one hundred five million, eighty-eight thousand, nine hundred thirteen".