105226240 has 112 divisors (see below), whose sum is σ = 289389312. Its totient is φ = 35979264.

The previous prime is 105226229. The next prime is 105226271. The reversal of 105226240 is 42622501.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×105226240² = 22145123169075200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 286537 + ... + 286903.

Almost surely, 2^105226240 is an apocalyptic number.

105226240 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 105226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144694656).

105226240 is an abundant number, since it is smaller than the sum of its proper divisors (184163072).

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

105226240 is an frugal number, since it uses more digits than its factorization.

105226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 105226240 is about 10257.9842074357. The cubic root of 105226240 is about 472.1079902290.

Adding to 105226240 its reverse (42622501), we get a palindrome (147848741).

The spelling of 105226240 in words is "one hundred five million, two hundred twenty-six thousand, two hundred forty".