105511340 has 48 divisors (see below), whose sum is σ = 246304800. Its totient is φ = 37639680.

The previous prime is 105511337. The next prime is 105511349. The reversal of 105511340 is 43115501.

It is a super-2 number, since 2×105511340² = 22265285737191200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (105511349) 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, 7136 + ... + 16184.

It is an arithmetic number, because the mean of its divisors is an integer number (5131350).

Almost surely, 2^105511340 is an apocalyptic number.

105511340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105511340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123152400).

105511340 is an abundant number, since it is smaller than the sum of its proper divisors (140793460).

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

105511340 is a wasteful number, since it uses less digits than its factorization.

105511340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9122 (or 9120 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 105511340 is about 10271.8712998168. The cubic root of 105511340 is about 472.5339822335.

Adding to 105511340 its reverse (43115501), we get a palindrome (148626841).

The spelling of 105511340 in words is "one hundred five million, five hundred eleven thousand, three hundred forty".