105222582850 has 144 divisors (see below), whose sum is σ = 250185996000. Its totient is φ = 32556115200.

The previous prime is 105222582833. The next prime is 105222582853. The reversal of 105222582850 is 58285222501.

It is a super-2 number, since 2×105222582850² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105222582853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3677901 + ... + 3706399.

It is an arithmetic number, because the mean of its divisors is an integer number (1737402750).

Almost surely, 2^105222582850 is an apocalyptic number.

105222582850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105222582850 is an abundant number, since it is smaller than the sum of its proper divisors (144963413150).

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

105222582850 is a wasteful number, since it uses less digits than its factorization.

105222582850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28673 (or 28661 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 40.

The spelling of 105222582850 in words is "one hundred five billion, two hundred twenty-two million, five hundred eighty-two thousand, eight hundred fifty".