105022770 has 64 divisors (see below), whose sum is σ = 273144960. Its totient is φ = 25740288.

The previous prime is 105022751. The next prime is 105022781. The reversal of 105022770 is 77220501.

It is a super-2 number, since 2×105022770² = 22059564436945800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105022770.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19536 + ... + 24324.

It is an arithmetic number, because the mean of its divisors is an integer number (4267890).

Almost surely, 2^105022770 is an apocalyptic number.

105022770 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 105022770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136572480).

105022770 is an abundant number, since it is smaller than the sum of its proper divisors (168122190).

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

105022770 is a wasteful number, since it uses less digits than its factorization.

105022770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859.

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 105022770 is about 10248.0617679637. The cubic root of 105022770 is about 471.8034977548.

The spelling of 105022770 in words is "one hundred five million, twenty-two thousand, seven hundred seventy".