106668160 has 32 divisors (see below), whose sum is σ = 255005100. Its totient is φ = 42667008.

The previous prime is 106668157. The next prime is 106668173. The reversal of 106668160 is 61866601.

It can be written as a sum of positive squares in 2 ways, for example, as 106667584 + 576 = 10328^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×106668160² = 22756192715571200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82695 + ... + 83974.

Almost surely, 2^106668160 is an apocalyptic number.

106668160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106668160 is an abundant number, since it is smaller than the sum of its proper divisors (148336940).

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

106668160 is an equidigital number, since it uses as much as digits as its factorization.

106668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166688 (or 166676 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 106668160 is about 10328.0278853225. The cubic root of 106668160 is about 474.2546537664.

The spelling of 106668160 in words is "one hundred six million, six hundred sixty-eight thousand, one hundred sixty".