106844160 has 208 divisors, whose sum is σ = 358569216. Its totient is φ = 27131904.

The previous prime is 106844159. The next prime is 106844183. The reversal of 106844160 is 61448601.

It is a super-2 number, since 2×106844160² = 22831349052211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2273257 + ... + 2273303.

Almost surely, 2^106844160 is an apocalyptic number.

106844160 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 106844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179284608).

106844160 is an abundant number, since it is smaller than the sum of its proper divisors (251725056).

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

106844160 is an equidigital number, since it uses as much as digits as its factorization.

106844160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 106844160 is about 10336.5448772789. The cubic root of 106844160 is about 474.5153468476.

The spelling of 106844160 in words is "one hundred six million, eight hundred forty-four thousand, one hundred sixty".