106846080 has 128 divisors (see below), whose sum is σ = 371606400. Its totient is φ = 25896960.

The previous prime is 106846067. The next prime is 106846081. The reversal of 106846080 is 80648601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106846080² = 22832169622732800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106846081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18591 + ... + 23649.

It is an arithmetic number, because the mean of its divisors is an integer number (2903175).

Almost surely, 2^106846080 is an apocalyptic number.

106846080 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 106846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185803200).

106846080 is an abundant number, since it is smaller than the sum of its proper divisors (264760320).

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

106846080 is a wasteful number, since it uses less digits than its factorization.

106846080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5092 (or 5080 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 106846080 is about 10336.6377512226. The cubic root of 106846080 is about 474.5181891930.

The spelling of 106846080 in words is "one hundred six million, eight hundred forty-six thousand, eighty".