106706160 has 240 divisors, whose sum is σ = 406224000. Its totient is φ = 25816320.

The previous prime is 106706137. The next prime is 106706179. The reversal of 106706160 is 61607601.

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

It is a super-2 number, since 2×106706160² = 22772409163891200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 213591 + ... + 214089.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 2^106706160 is an apocalyptic number.

106706160 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 106706160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112000).

106706160 is an abundant number, since it is smaller than the sum of its proper divisors (299517840).

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

106706160 is a wasteful number, since it uses less digits than its factorization.

106706160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 106706160 is about 10329.8673757217. The cubic root of 106706160 is about 474.3109640319.

It can be divided in two parts, 106 and 706160, that added together give a triangular number (706266 = T₁₁₈₈).

The spelling of 106706160 in words is "one hundred six million, seven hundred six thousand, one hundred sixty".