106158384 has 80 divisors (see below), whose sum is σ = 314583040. Its totient is φ = 34240320.

The previous prime is 106158379. The next prime is 106158391. The reversal of 106158384 is 483851601.

106158384 is a `hidden beast` number, since 1 + 0 + 615 + 8 + 38 + 4 = 666.

It is a super-2 number, since 2×106158384² = 22539204986982912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 9429 + ... + 17355.

It is an arithmetic number, because the mean of its divisors is an integer number (3932288).

Almost surely, 2^106158384 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 106158384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157291520).

106158384 is an abundant number, since it is smaller than the sum of its proper divisors (208424656).

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

106158384 is a wasteful number, since it uses less digits than its factorization.

106158384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7975 (or 7963 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 106158384 is about 10303.3190768800. The cubic root of 106158384 is about 473.4979462279.

The spelling of 106158384 in words is "one hundred six million, one hundred fifty-eight thousand, three hundred eighty-four".