105088409 has 2 divisors, whose sum is σ = 105088410. Its totient is φ = 105088408.

The previous prime is 105088397. The next prime is 105088463. The reversal of 105088409 is 904880501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94867600 + 10220809 = 9740^2 + 3197^2 .

It is a cyclic number.

It is not a de Polignac number, because 105088409 - 2¹⁶ = 105022873 is a prime.

It is a super-2 number, since 2×105088409² = 22087147412302562, which contains 22 as substring.

It is equal to p_6037469 and since 105088409 and 6037469 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105088469) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52544204 + 52544205.

It is an arithmetic number, because the mean of its divisors is an integer number (52544205).

Almost surely, 2^105088409 is an apocalyptic number.

It is an amenable number.

105088409 is a deficient number, since it is larger than the sum of its proper divisors (1).

105088409 is an equidigital number, since it uses as much as digits as its factorization.

105088409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 105088409 is about 10251.2637757498. The cubic root of 105088409 is about 471.9017693335.

The spelling of 105088409 in words is "one hundred five million, eighty-eight thousand, four hundred nine".