106431111 has 16 divisors (see below), whose sum is σ = 157861600. Its totient is φ = 70870464.

The previous prime is 106431107. The next prime is 106431113. The reversal of 106431111 is 111134601.

106431111 is a `hidden beast` number, since 1 + 0 + 643 + 11 + 11 = 666.

It is not a de Polignac number, because 106431111 - 2² = 106431107 is a prime.

It is a super-2 number, since 2×106431111² = 22655162777388642, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106431113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28395 + ... + 31923.

It is an arithmetic number, because the mean of its divisors is an integer number (9866350).

Almost surely, 2^106431111 is an apocalyptic number.

106431111 is a deficient number, since it is larger than the sum of its proper divisors (51430489).

106431111 is a wasteful number, since it uses less digits than its factorization.

106431111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4655 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 106431111 is about 10316.5454974037. The cubic root of 106431111 is about 473.9030806488.

Adding to 106431111 its reverse (111134601), we get a palindrome (217565712).

The spelling of 106431111 in words is "one hundred six million, four hundred thirty-one thousand, one hundred eleven".