106811280 has 120 divisors (see below), whose sum is σ = 362264760. Its totient is φ = 28200960.

The previous prime is 106811261. The next prime is 106811281. The reversal of 106811280 is 82118601.

It can be written as a sum of positive squares in 4 ways, for example, as 6170256 + 100641024 = 2484^2 + 10032^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106811280² = 22817299070476800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106811281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77800 + ... + 79160.

It is an arithmetic number, because the mean of its divisors is an integer number (3018873).

Almost surely, 2^106811280 is an apocalyptic number.

106811280 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 106811280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181132380).

106811280 is an abundant number, since it is smaller than the sum of its proper divisors (255453480).

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

106811280 is a wasteful number, since it uses less digits than its factorization.

106811280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 106811280 is about 10334.9542814664. The cubic root of 106811280 is about 474.4666663977.

Adding to 106811280 its reverse (82118601), we get a palindrome (188929881).

The spelling of 106811280 in words is "one hundred six million, eight hundred eleven thousand, two hundred eighty".