105906880 has 56 divisors (see below), whose sum is σ = 254111760. Its totient is φ = 42040320.

The previous prime is 105906863. The next prime is 105906887. The reversal of 105906880 is 88609501.

It is a super-2 number, since 2×105906880² = 22432534462668800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105906887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43290 + ... + 45670.

It is an arithmetic number, because the mean of its divisors is an integer number (4537710).

Almost surely, 2^105906880 is an apocalyptic number.

105906880 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 105906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127055880).

105906880 is an abundant number, since it is smaller than the sum of its proper divisors (148204880).

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

105906880 is a wasteful number, since it uses less digits than its factorization.

105906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 105906880 is about 10291.1068403744. The cubic root of 105906880 is about 473.1237230115.

The spelling of 105906880 in words is "one hundred five million, nine hundred six thousand, eight hundred eighty".