105505780 has 24 divisors (see below), whose sum is σ = 222850152. Its totient is φ = 41956992.

The previous prime is 105505753. The next prime is 105505781. The reversal of 105505780 is 87505501.

It can be written as a sum of positive squares in 4 ways, for example, as 8916196 + 96589584 = 2986^2 + 9828^2 .

It is a super-2 number, since 2×105505780² = 22262939226816800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505781) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11787 + ... + 18706.

It is an arithmetic number, because the mean of its divisors is an integer number (9285423).

Almost surely, 2^105505780 is an apocalyptic number.

105505780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105505780 is an abundant number, since it is smaller than the sum of its proper divisors (117344372).

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

105505780 is a wasteful number, since it uses less digits than its factorization.

105505780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30675 (or 30673 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 31.

The square root of 105505780 is about 10271.6006542311. The cubic root of 105505780 is about 472.5256819090.

The spelling of 105505780 in words is "one hundred five million, five hundred five thousand, seven hundred eighty".