105567220 has 48 divisors (see below), whose sum is σ = 244290816. Its totient is φ = 38000000.

The previous prime is 105567191. The next prime is 105567233. The reversal of 105567220 is 22765501.

It is a super-2 number, since 2×105567220² = 22288875877056800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19845 + ... + 24595.

It is an arithmetic number, because the mean of its divisors is an integer number (5089392).

Almost surely, 2^105567220 is an apocalyptic number.

105567220 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 105567220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122145408).

105567220 is an abundant number, since it is smaller than the sum of its proper divisors (138723596).

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

105567220 is a wasteful number, since it uses less digits than its factorization.

105567220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 105567220 is about 10274.5909894263. The cubic root of 105567220 is about 472.6173872931.

The spelling of 105567220 in words is "one hundred five million, five hundred sixty-seven thousand, two hundred twenty".