105550380 has 144 divisors (see below), whose sum is σ = 353152800. Its totient is φ = 25353216.

The previous prime is 105550327. The next prime is 105550397. The reversal of 105550380 is 83055501.

105550380 is a `hidden beast` number, since 105 + 550 + 3 + 8 + 0 = 666.

It is a super-2 number, since 2×105550380² = 22281765436288800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100096 + ... + 101144.

It is an arithmetic number, because the mean of its divisors is an integer number (2452450).

Almost surely, 2^105550380 is an apocalyptic number.

105550380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105550380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176576400).

105550380 is an abundant number, since it is smaller than the sum of its proper divisors (247602420).

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

105550380 is a wasteful number, since it uses less digits than its factorization.

105550380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 105550380 is about 10273.7714594009. The cubic root of 105550380 is about 472.5922554386.

The spelling of 105550380 in words is "one hundred five million, five hundred fifty thousand, three hundred eighty".