106039724 has 36 divisors (see below), whose sum is σ = 217375200. Its totient is φ = 45128160.

The previous prime is 106039723. The next prime is 106039733. The reversal of 106039724 is 427930601.

It is a super-2 number, since 2×106039724² = 22488846131992352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106039723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27389 + ... + 31019.

It is an arithmetic number, because the mean of its divisors is an integer number (6038200).

Almost surely, 2^106039724 is an apocalyptic number.

106039724 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106039724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108687600).

106039724 is an abundant number, since it is smaller than the sum of its proper divisors (111335476).

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

106039724 is a wasteful number, since it uses less digits than its factorization.

106039724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 106039724 is about 10297.5591282595. The cubic root of 106039724 is about 473.3214608321.

The spelling of 106039724 in words is "one hundred six million, thirty-nine thousand, seven hundred twenty-four".