105565440 has 144 divisors (see below), whose sum is σ = 346727808. Its totient is φ = 27353088.

The previous prime is 105565399. The next prime is 105565511. The reversal of 105565440 is 44565501.

It is a super-2 number, since 2×105565440² = 22288124244787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105565398 and 105565407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141709 + ... + 142451.

It is an arithmetic number, because the mean of its divisors is an integer number (2407832).

Almost surely, 2^105565440 is an apocalyptic number.

105565440 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 105565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173363904).

105565440 is an abundant number, since it is smaller than the sum of its proper divisors (241162368).

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

105565440 is an equidigital number, since it uses as much as digits as its factorization.

105565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 105565440 is about 10274.5043676082. The cubic root of 105565440 is about 472.6147309645.

The spelling of 105565440 in words is "one hundred five million, five hundred sixty-five thousand, four hundred forty".