105851780 has 24 divisors (see below), whose sum is σ = 223580952. Its totient is φ = 42094592.

The previous prime is 105851777. The next prime is 105851789. The reversal of 105851780 is 87158501.

It can be written as a sum of positive squares in 4 ways, for example, as 39037504 + 66814276 = 6248^2 + 8174^2 .

It is a super-2 number, since 2×105851780² = 22409198658336800, 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 105851780.

It is not an unprimeable number, because it can be changed into a prime (105851789) by changing a digit.

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, 11837 + ... + 18756.

It is an arithmetic number, because the mean of its divisors is an integer number (9315873).

Almost surely, 2^105851780 is an apocalyptic number.

105851780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105851780 is an abundant number, since it is smaller than the sum of its proper divisors (117729172).

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

105851780 is a wasteful number, since it uses less digits than its factorization.

105851780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30775 (or 30773 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 35.

The square root of 105851780 is about 10288.4294233863. The cubic root of 105851780 is about 473.0416583417.

The spelling of 105851780 in words is "one hundred five million, eight hundred fifty-one thousand, seven hundred eighty".