105022200 has 96 divisors (see below), whose sum is σ = 328662000. Its totient is φ = 27740160.

The previous prime is 105022193. The next prime is 105022217. The reversal of 105022200 is 2220501.

It is a super-2 number, since 2×105022200² = 22059324985680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67026 + ... + 68574.

Almost surely, 2^105022200 is an apocalyptic number.

105022200 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 105022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164331000).

105022200 is an abundant number, since it is smaller than the sum of its proper divisors (223639800).

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

105022200 is a wasteful number, since it uses less digits than its factorization.

105022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 105022200 is about 10248.0339577892. The cubic root of 105022200 is about 471.8026441987.

Adding to 105022200 its reverse (2220501), we get a palindrome (107242701).

The spelling of 105022200 in words is "one hundred five million, twenty-two thousand, two hundred".