106586124 has 96 divisors (see below), whose sum is σ = 280869120. Its totient is φ = 31260672.

The previous prime is 106586119. The next prime is 106586131. The reversal of 106586124 is 421685601.

It is a super-2 number, since 2×106586124² = 22721203658686752, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414604 + ... + 414860.

It is an arithmetic number, because the mean of its divisors is an integer number (2925720).

Almost surely, 2^106586124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106586124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140434560).

106586124 is an abundant number, since it is smaller than the sum of its proper divisors (174282996).

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

106586124 is a wasteful number, since it uses less digits than its factorization.

106586124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 106586124 is about 10324.0555984555. The cubic root of 106586124 is about 474.1330431786.

The spelling of 106586124 in words is "one hundred six million, five hundred eighty-six thousand, one hundred twenty-four".