106438836 has 96 divisors (see below), whose sum is σ = 316431360. Its totient is φ = 27108864.

The previous prime is 106438831. The next prime is 106438867. The reversal of 106438836 is 638834601.

It is a super-2 number, since 2×106438836² = 22658451618069792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106438794 and 106438803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106438831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25171 + ... + 29093.

It is an arithmetic number, because the mean of its divisors is an integer number (3296160).

Almost surely, 2^106438836 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 106438836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158215680).

106438836 is an abundant number, since it is smaller than the sum of its proper divisors (209992524).

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

106438836 is a wasteful number, since it uses less digits than its factorization.

106438836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 106438836 is about 10316.9198891917. The cubic root of 106438836 is about 473.9145460079.

The spelling of 106438836 in words is "one hundred six million, four hundred thirty-eight thousand, eight hundred thirty-six".