105361311 has 16 divisors (see below), whose sum is σ = 157396608. Its totient is φ = 62128800.

The previous prime is 105361301. The next prime is 105361339. The reversal of 105361311 is 113163501.

It is not a de Polignac number, because 105361311 - 2¹⁹ = 104837023 is a prime.

It is a super-2 number, since 2×105361311² = 22202011711277442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105361301) 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, 41925 + ... + 44366.

It is an arithmetic number, because the mean of its divisors is an integer number (9837288).

Almost surely, 2^105361311 is an apocalyptic number.

105361311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105361311 is a deficient number, since it is larger than the sum of its proper divisors (52035297).

105361311 is a wasteful number, since it uses less digits than its factorization.

105361311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86342.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 105361311 is about 10264.5657969541. The cubic root of 105361311 is about 472.3099070164.

The spelling of 105361311 in words is "one hundred five million, three hundred sixty-one thousand, three hundred eleven".