105763220 has 24 divisors (see below), whose sum is σ = 222342624. Its totient is φ = 42259616.

The previous prime is 105763213. The next prime is 105763237. The reversal of 105763220 is 22367501.

It is a super-2 number, since 2×105763220² = 22371717409536800, 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 105763220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20987 + ... + 25533.

It is an arithmetic number, because the mean of its divisors is an integer number (9264276).

Almost surely, 2^105763220 is an apocalyptic number.

105763220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105763220 is an abundant number, since it is smaller than the sum of its proper divisors (116579404).

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

105763220 is a wasteful number, since it uses less digits than its factorization.

105763220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5719 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 105763220 is about 10284.1246589100. The cubic root of 105763220 is about 472.9096994279.

The spelling of 105763220 in words is "one hundred five million, seven hundred sixty-three thousand, two hundred twenty".