106605160 has 48 divisors (see below), whose sum is σ = 248496300. Its totient is φ = 41158656.

The previous prime is 106605137. The next prime is 106605173. The reversal of 106605160 is 61506601.

It can be written as a sum of positive squares in 6 ways, for example, as 67141636 + 39463524 = 8194^2 + 6282^2 .

It is a super-2 number, since 2×106605160² = 22729320277251200, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 32056 + ... + 35224.

Almost surely, 2^106605160 is an apocalyptic number.

106605160 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 106605160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124248150).

106605160 is an abundant number, since it is smaller than the sum of its proper divisors (141891140).

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

106605160 is a wasteful number, since it uses less digits than its factorization.

106605160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 106605160 is about 10324.9774818156. The cubic root of 106605160 is about 474.1612678011.

The spelling of 106605160 in words is "one hundred six million, six hundred five thousand, one hundred sixty".