106431305 has 16 divisors (see below), whose sum is σ = 139896720. Its totient is φ = 77371392.

The previous prime is 106431257. The next prime is 106431313. The reversal of 106431305 is 503134601.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2166784 + 104264521 = 1472^2 + 10211^2 .

It is a cyclic number.

It is not a de Polignac number, because 106431305 - 2¹⁰ = 106430281 is a prime.

It is a super-2 number, since 2×106431305² = 22655245368006050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19124 + ... + 24053.

It is an arithmetic number, because the mean of its divisors is an integer number (8743545).

Almost surely, 2^106431305 is an apocalyptic number.

It is an amenable number.

106431305 is a deficient number, since it is larger than the sum of its proper divisors (33465415).

106431305 is a wasteful number, since it uses less digits than its factorization.

106431305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43228.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 106431305 is about 10316.5548997715. The cubic root of 106431305 is about 473.9033685882.

Adding to 106431305 its reverse (503134601), we get a palindrome (609565906).

The spelling of 106431305 in words is "one hundred six million, four hundred thirty-one thousand, three hundred five".