106671584 has 24 divisors (see below), whose sum is σ = 211277808. Its totient is φ = 53013760.

The previous prime is 106671581. The next prime is 106671611. The reversal of 106671584 is 485176601.

It is a super-2 number, since 2×106671584² = 22757653666138112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106671581) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4637 + ... + 15324.

It is an arithmetic number, because the mean of its divisors is an integer number (8803242).

Almost surely, 2^106671584 is an apocalyptic number.

It is an amenable number.

106671584 is a deficient number, since it is larger than the sum of its proper divisors (104606224).

106671584 is a wasteful number, since it uses less digits than its factorization.

106671584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20138 (or 20130 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 106671584 is about 10328.1936465192. The cubic root of 106671584 is about 474.2597281659.

The spelling of 106671584 in words is "one hundred six million, six hundred seventy-one thousand, five hundred eighty-four".