106306431 has 48 divisors (see below), whose sum is σ = 186157440. Its totient is φ = 53296320.

The previous prime is 106306367. The next prime is 106306451. The reversal of 106306431 is 134603601.

It is not a de Polignac number, because 106306431 - 2⁶ = 106306367 is a prime.

It is a super-2 number, since 2×106306431² = 22602114543915522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106306451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45760 + ... + 48026.

It is an arithmetic number, because the mean of its divisors is an integer number (3878280).

Almost surely, 2^106306431 is an apocalyptic number.

106306431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106306431 is a deficient number, since it is larger than the sum of its proper divisors (79851009).

106306431 is a wasteful number, since it uses less digits than its factorization.

106306431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 106306431 is about 10310.5010062557. The cubic root of 106306431 is about 473.7179551938.

The spelling of 106306431 in words is "one hundred six million, three hundred six thousand, four hundred thirty-one".