105338880 has 240 divisors, whose sum is σ = 380540160. Its totient is φ = 27869184.

The previous prime is 105338879. The next prime is 105338897. The reversal of 105338880 is 88833501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105338880² = 22192559279308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829377 + ... + 829503.

It is an arithmetic number, because the mean of its divisors is an integer number (1585584).

Almost surely, 2^105338880 is an apocalyptic number.

105338880 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 105338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190270080).

105338880 is an abundant number, since it is smaller than the sum of its proper divisors (275201280).

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

105338880 is an equidigital number, since it uses as much as digits as its factorization.

105338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 105338880 is about 10263.4730963743. The cubic root of 105338880 is about 472.2763870101.

The spelling of 105338880 in words is "one hundred five million, three hundred thirty-eight thousand, eight hundred eighty".