105222810 has 192 divisors, whose sum is σ = 328188672. Its totient is φ = 21120000.

The previous prime is 105222797. The next prime is 105222811. The reversal of 105222810 is 18222501.

It is a happy number.

It is a super-2 number, since 2×105222810² = 22143679488592200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105222811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1041760 + ... + 1041860.

It is an arithmetic number, because the mean of its divisors is an integer number (1709316).

Almost surely, 2^105222810 is an apocalyptic number.

105222810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105222810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164094336).

105222810 is an abundant number, since it is smaller than the sum of its proper divisors (222965862).

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

105222810 is a wasteful number, since it uses less digits than its factorization.

105222810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 105222810 is about 10257.8170192298. The cubic root of 105222810 is about 472.1028604945.

The spelling of 105222810 in words is "one hundred five million, two hundred twenty-two thousand, eight hundred ten".