106846560 has 96 divisors (see below), whose sum is σ = 373978080. Its totient is φ = 28491264.

The previous prime is 106846549. The next prime is 106846561. The reversal of 106846560 is 65648601.

106846560 is a `hidden beast` number, since 10 + 6 + 84 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106846560² = 22832374767667200, 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 not an unprimeable number, because it can be changed into a prime (106846561) 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, 8047 + ... + 16686.

It is an arithmetic number, because the mean of its divisors is an integer number (3895605).

Almost surely, 2^106846560 is an apocalyptic number.

106846560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106846560 is an abundant number, since it is smaller than the sum of its proper divisors (267131520).

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

106846560 is a wasteful number, since it uses less digits than its factorization.

106846560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24757 (or 24743 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 106846560 is about 10336.6609695781. The cubic root of 106846560 is about 474.5188997740.

The spelling of 106846560 in words is "one hundred six million, eight hundred forty-six thousand, five hundred sixty".