105222680 has 32 divisors (see below), whose sum is σ = 244391040. Its totient is φ = 40730880.

The previous prime is 105222671. The next prime is 105222683. The reversal of 105222680 is 86222501.

It is a super-2 number, since 2×105222680² = 22143624772764800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105222683) 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, 41189 + ... + 43668.

It is an arithmetic number, because the mean of its divisors is an integer number (7637220).

Almost surely, 2^105222680 is an apocalyptic number.

105222680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105222680 is an abundant number, since it is smaller than the sum of its proper divisors (139168360).

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

105222680 is a wasteful number, since it uses less digits than its factorization.

105222680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84899 (or 84895 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 105222680 is about 10257.8106825969. The cubic root of 105222680 is about 472.1026660709.

It can be divided in two parts, 1052 and 22680, that added together give a palindrome (23732).

The spelling of 105222680 in words is "one hundred five million, two hundred twenty-two thousand, six hundred eighty".