105431509 has 2 divisors, whose sum is σ = 105431510. Its totient is φ = 105431508.

The previous prime is 105431503. The next prime is 105431533. The reversal of 105431509 is 905134501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96963409 + 8468100 = 9847^2 + 2910^2 .

It is a cyclic number.

It is not a de Polignac number, because 105431509 - 2¹³ = 105423317 is a prime.

It is a super-2 number, since 2×105431509² = 22231606180034162, 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 (105431503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52715754 + 52715755.

It is an arithmetic number, because the mean of its divisors is an integer number (52715755).

Almost surely, 2^105431509 is an apocalyptic number.

It is an amenable number.

105431509 is a deficient number, since it is larger than the sum of its proper divisors (1).

105431509 is an equidigital number, since it uses as much as digits as its factorization.

105431509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 105431509 is about 10267.9846610715. The cubic root of 105431509 is about 472.4147774220.

The spelling of 105431509 in words is "one hundred five million, four hundred thirty-one thousand, five hundred nine".