106338936 has 128 divisors (see below), whose sum is σ = 307722240. Its totient is φ = 30307200.

The previous prime is 106338929. The next prime is 106338937. The reversal of 106338936 is 639833601.

It is a super-2 number, since 2×106338936² = 22615938619224192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106338894 and 106338903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106338937) 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, 503871 + ... + 504081.

It is an arithmetic number, because the mean of its divisors is an integer number (2404080).

Almost surely, 2^106338936 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 106338936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153861120).

106338936 is an abundant number, since it is smaller than the sum of its proper divisors (201383304).

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

106338936 is a wasteful number, since it uses less digits than its factorization.

106338936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 106338936 is about 10312.0771913325. The cubic root of 106338936 is about 473.7662327152.

The spelling of 106338936 in words is "one hundred six million, three hundred thirty-eight thousand, nine hundred thirty-six".