106131384 has 80 divisors (see below), whose sum is σ = 310234320. Its totient is φ = 33834240.

The previous prime is 106131379. The next prime is 106131401. The reversal of 106131384 is 483131601.

106131384 is a `hidden beast` number, since 10 + 613 + 1 + 38 + 4 = 666.

It is a super-2 number, since 2×106131384² = 22527741339510912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11344 + ... + 18464.

It is an arithmetic number, because the mean of its divisors is an integer number (3877929).

Almost surely, 2^106131384 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 106131384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155117160).

106131384 is an abundant number, since it is smaller than the sum of its proper divisors (204102936).

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

106131384 is a wasteful number, since it uses less digits than its factorization.

106131384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7162 (or 7149 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106131384 is about 10302.0087361640. The cubic root of 106131384 is about 473.4578001491.

Adding to 106131384 its reverse (483131601), we get a palindrome (589262985).

The spelling of 106131384 in words is "one hundred six million, one hundred thirty-one thousand, three hundred eighty-four".