105022720 has 72 divisors (see below), whose sum is σ = 274468320. Its totient is φ = 38184960.

The previous prime is 105022649. The next prime is 105022721. The reversal of 105022720 is 27220501.

It is a super-2 number, since 2×105022720² = 22059543432396800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105022721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10351 + ... + 17809.

It is an arithmetic number, because the mean of its divisors is an integer number (3812060).

Almost surely, 2^105022720 is an apocalyptic number.

105022720 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 105022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137234160).

105022720 is an abundant number, since it is smaller than the sum of its proper divisors (169445600).

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

105022720 is an equidigital number, since it uses as much as digits as its factorization.

105022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7491 (or 7477 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 105022720 is about 10248.0593284778. The cubic root of 105022720 is about 471.8034228815.

The spelling of 105022720 in words is "one hundred five million, twenty-two thousand, seven hundred twenty".