105772110 has 32 divisors (see below), whose sum is σ = 254219040. Its totient is φ = 28165248.

The previous prime is 105772067. The next prime is 105772111. The reversal of 105772110 is 11277501.

It is a happy number.

It is a super-2 number, since 2×105772110² = 22375478507704200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105772111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22744 + ... + 26996.

It is an arithmetic number, because the mean of its divisors is an integer number (7944345).

Almost surely, 2^105772110 is an apocalyptic number.

105772110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105772110 is an abundant number, since it is smaller than the sum of its proper divisors (148446930).

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

105772110 is a wasteful number, since it uses less digits than its factorization.

105772110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5092.

The product of its (nonzero) digits is 490, while the sum is 24.

The square root of 105772110 is about 10284.5568694038. The cubic root of 105772110 is about 472.9229493064.

The spelling of 105772110 in words is "one hundred five million, seven hundred seventy-two thousand, one hundred ten".