106508160 has 288 divisors, whose sum is σ = 411245640. Its totient is φ = 25190400.

The previous prime is 106508141. The next prime is 106508161. The reversal of 106508160 is 61805601.

106508160 is a `hidden beast` number, since 1 + 0 + 650 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106508160² = 22687976293171200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106508161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2597740 + ... + 2597780.

Almost surely, 2^106508160 is an apocalyptic number.

106508160 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 106508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205622820).

106508160 is an abundant number, since it is smaller than the sum of its proper divisors (304737480).

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

106508160 is a wasteful number, since it uses less digits than its factorization.

106508160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 106508160 is about 10320.2790659943. The cubic root of 106508160 is about 474.0174111000.

The spelling of 106508160 in words is "one hundred six million, five hundred eight thousand, one hundred sixty".