105820440 has 64 divisors (see below), whose sum is σ = 346325760. Its totient is φ = 25653120.

The previous prime is 105820411. The next prime is 105820441. The reversal of 105820440 is 44028501.

It is a super-2 number, since 2×105820440² = 22395931043587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105820440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105820441) 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, 38764 + ... + 41403.

It is an arithmetic number, because the mean of its divisors is an integer number (5411340).

Almost surely, 2^105820440 is an apocalyptic number.

105820440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105820440 is an abundant number, since it is smaller than the sum of its proper divisors (240505320).

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

105820440 is a wasteful number, since it uses less digits than its factorization.

105820440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80192 (or 80188 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 105820440 is about 10286.9062404593. The cubic root of 105820440 is about 472.9949685618.

Adding to 105820440 its reverse (44028501), we get a palindrome (149848941).

The spelling of 105820440 in words is "one hundred five million, eight hundred twenty thousand, four hundred forty".