106611670 has 32 divisors (see below), whose sum is σ = 218453760. Its totient is φ = 37081440.

The previous prime is 106611653. The next prime is 106611677. The reversal of 106611670 is 76116601.

It is a super-3 number, since 3×106611670³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106611677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18540 + ... + 23599.

It is an arithmetic number, because the mean of its divisors is an integer number (6826680).

Almost surely, 2^106611670 is an apocalyptic number.

106611670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106611670 is an abundant number, since it is smaller than the sum of its proper divisors (111842090).

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

106611670 is a wasteful number, since it uses less digits than its factorization.

106611670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42180.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 106611670 is about 10325.2927319277. The cubic root of 106611670 is about 474.1709193884.

The spelling of 106611670 in words is "one hundred six million, six hundred eleven thousand, six hundred seventy".