105985311 has 16 divisors (see below), whose sum is σ = 152217600. Its totient is φ = 65403360.

The previous prime is 105985307. The next prime is 105985331. The reversal of 105985311 is 113589501.

105985311 = 1834² + 1835² + ... + 1864².

It is not a de Polignac number, because 105985311 - 2² = 105985307 is a prime.

It is a super-2 number, since 2×105985311² = 22465772295533442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105985331) 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, 22636 + ... + 26913.

It is an arithmetic number, because the mean of its divisors is an integer number (9513600).

Almost surely, 2^105985311 is an apocalyptic number.

105985311 is a deficient number, since it is larger than the sum of its proper divisors (46232289).

105985311 is a wasteful number, since it uses less digits than its factorization.

105985311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49606.

The product of its (nonzero) digits is 5400, while the sum is 33.

The square root of 105985311 is about 10294.9167553701. The cubic root of 105985311 is about 473.2404872554.

The spelling of 105985311 in words is "one hundred five million, nine hundred eighty-five thousand, three hundred eleven".