105185440 has 96 divisors (see below), whose sum is σ = 262797696. Its totient is φ = 39705600.

The previous prime is 105185401. The next prime is 105185441. The reversal of 105185440 is 44581501.

It is a super-2 number, since 2×105185440² = 22127953575987200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105185399 and 105185408.

It is not an unprimeable number, because it can be changed into a prime (105185441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371539 + ... + 371821.

It is an arithmetic number, because the mean of its divisors is an integer number (2737476).

Almost surely, 2^105185440 is an apocalyptic number.

105185440 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 105185440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131398848).

105185440 is an abundant number, since it is smaller than the sum of its proper divisors (157612256).

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

105185440 is a wasteful number, since it uses less digits than its factorization.

105185440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 105185440 is about 10255.9953198117. The cubic root of 105185440 is about 472.0469645885.

It can be divided in two parts, 105185 and 440, that added together give a square (105625 = 325²).

The spelling of 105185440 in words is "one hundred five million, one hundred eighty-five thousand, four hundred forty".