105881860 has 48 divisors (see below), whose sum is σ = 255991680. Its totient is φ = 36034560.

The previous prime is 105881821. The next prime is 105881861. The reversal of 105881860 is 68188501.

It is a super-2 number, since 2×105881860² = 22421936554119200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105881861) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16740 + ... + 22180.

It is an arithmetic number, because the mean of its divisors is an integer number (5333160).

Almost surely, 2^105881860 is an apocalyptic number.

105881860 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 105881860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127995840).

105881860 is an abundant number, since it is smaller than the sum of its proper divisors (150109820).

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

105881860 is a wasteful number, since it uses less digits than its factorization.

105881860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5596 (or 5594 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 37.

The square root of 105881860 is about 10289.8911558869. The cubic root of 105881860 is about 473.0864623291.

The spelling of 105881860 in words is "one hundred five million, eight hundred eighty-one thousand, eight hundred sixty".