106166560 has 24 divisors (see below), whose sum is σ = 250818876. Its totient is φ = 42466560.

The previous prime is 106166531. The next prime is 106166591. The reversal of 106166560 is 65661601.

It can be written as a sum of positive squares in 2 ways, for example, as 98962704 + 7203856 = 9948^2 + 2684^2 .

It is a super-2 number, since 2×106166560² = 22542676924467200, 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 3 ways as a sum of consecutive naturals, for example, 331611 + ... + 331930.

Almost surely, 2^106166560 is an apocalyptic number.

106166560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106166560 is an abundant number, since it is smaller than the sum of its proper divisors (144652316).

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

106166560 is an equidigital number, since it uses as much as digits as its factorization.

106166560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663556 (or 663548 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 106166560 is about 10303.7158345909. The cubic root of 106166560 is about 473.5101017125.

The spelling of 106166560 in words is "one hundred six million, one hundred sixty-six thousand, five hundred sixty".