105574240 has 48 divisors (see below), whose sum is σ = 250220880. Its totient is φ = 42094080.

The previous prime is 105574219. The next prime is 105574247. The reversal of 105574240 is 42475501.

It is a super-2 number, since 2×105574240² = 22291840303155200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105574199 and 105574208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105574247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59770 + ... + 61510.

It is an arithmetic number, because the mean of its divisors is an integer number (5212935).

Almost surely, 2^105574240 is an apocalyptic number.

105574240 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 105574240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125110440).

105574240 is an abundant number, since it is smaller than the sum of its proper divisors (144646640).

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

105574240 is a wasteful number, since it uses less digits than its factorization.

105574240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 105574240 is about 10274.9326031853. The cubic root of 105574240 is about 472.6278630845.

The spelling of 105574240 in words is "one hundred five million, five hundred seventy-four thousand, two hundred forty".