106456311 has 18 divisors (see below), whose sum is σ = 166510968. Its totient is φ = 65510640.

The previous prime is 106456309. The next prime is 106456319. The reversal of 106456311 is 113654601.

106456311 is a `hidden beast` number, since 1 + 0 + 645 + 6 + 3 + 11 = 666.

It is not a de Polignac number, because 106456311 - 2¹ = 106456309 is a prime.

It is a super-2 number, since 2×106456311² = 22665892303457442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106456319) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33475 + ... + 36516.

Almost surely, 2^106456311 is an apocalyptic number.

106456311 is a deficient number, since it is larger than the sum of its proper divisors (60054657).

106456311 is a wasteful number, since it uses less digits than its factorization.

106456311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70023 (or 70007 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106456311 is about 10317.7667641792. The cubic root of 106456311 is about 473.9404801620.

It can be divided in two parts, 1064 and 56311, that added together give a palindrome (57375).

The spelling of 106456311 in words is "one hundred six million, four hundred fifty-six thousand, three hundred eleven".