106670160 has 60 divisors (see below), whose sum is σ = 358236372. Its totient is φ = 28445184.

The previous prime is 106670153. The next prime is 106670173. The reversal of 106670160 is 61076601.

It can be written as a sum of positive squares in 2 ways, for example, as 51494976 + 55175184 = 7176^2 + 7428^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×106670160² = 22757046068851200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73357 + ... + 74796.

Almost surely, 2^106670160 is an apocalyptic number.

106670160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106670160 is an abundant number, since it is smaller than the sum of its proper divisors (251566212).

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

106670160 is a wasteful number, since it uses less digits than its factorization.

106670160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148172 (or 148163 counting only the distinct ones).

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

The square root of 106670160 is about 10328.1247087746. The cubic root of 106670160 is about 474.2576177980.

The spelling of 106670160 in words is "one hundred six million, six hundred seventy thousand, one hundred sixty".