105711540 has 48 divisors (see below), whose sum is σ = 322902720. Its totient is φ = 25626880.

The previous prime is 105711533. The next prime is 105711563. The reversal of 105711540 is 45117501.

It is a super-2 number, since 2×105711540² = 22349859378343200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105711540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79425 + ... + 80744.

It is an arithmetic number, because the mean of its divisors is an integer number (6727140).

Almost surely, 2^105711540 is an apocalyptic number.

105711540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105711540 is an abundant number, since it is smaller than the sum of its proper divisors (217191180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105711540 is a wasteful number, since it uses less digits than its factorization.

105711540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160192 (or 160190 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 105711540 is about 10281.6117413565. The cubic root of 105711540 is about 472.8326595549.

The spelling of 105711540 in words is "one hundred five million, seven hundred eleven thousand, five hundred forty".