106365311 has 16 divisors (see below), whose sum is σ = 121913568. Its totient is φ = 91929600.

The previous prime is 106365263. The next prime is 106365323. The reversal of 106365311 is 113563601.

It is a cyclic number.

It is not a de Polignac number, because 106365311 - 2¹⁰ = 106364287 is a prime.

It is a super-2 number, since 2×106365311² = 22627158768253442, 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 (106365331) 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, 45491 + ... + 47771.

It is an arithmetic number, because the mean of its divisors is an integer number (7619598).

Almost surely, 2^106365311 is an apocalyptic number.

106365311 is a deficient number, since it is larger than the sum of its proper divisors (15548257).

106365311 is a wasteful number, since it uses less digits than its factorization.

106365311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522.

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 106365311 is about 10313.3559523561. The cubic root of 106365311 is about 473.8053985244.

The spelling of 106365311 in words is "one hundred six million, three hundred sixty-five thousand, three hundred eleven".