105221800 has 48 divisors (see below), whose sum is σ = 247110300. Its totient is φ = 41664000.

The previous prime is 105221797. The next prime is 105221819. The reversal of 105221800 is 8122501.

It can be written as a sum of positive squares in 6 ways, for example, as 95374756 + 9847044 = 9766^2 + 3138^2 .

It is a super-2 number, since 2×105221800² = 22143254390480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17596 + ... + 22804.

Almost surely, 2^105221800 is an apocalyptic number.

105221800 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 105221800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123555150).

105221800 is an abundant number, since it is smaller than the sum of its proper divisors (141888500).

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

105221800 is a wasteful number, since it uses less digits than its factorization.

105221800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5326 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 105221800 is about 10257.7677883641. The cubic root of 105221800 is about 472.1013499684.

The spelling of 105221800 in words is "one hundred five million, two hundred twenty-one thousand, eight hundred".