106817936 has 40 divisors (see below), whose sum is σ = 219852000. Its totient is φ = 50102784.

The previous prime is 106817923. The next prime is 106817939. The reversal of 106817936 is 639718601.

It is a super-2 number, since 2×106817936² = 22820142902600192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106817893 and 106817902.

It is not an unprimeable number, because it can be changed into a prime (106817939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135335 + ... + 136121.

It is an arithmetic number, because the mean of its divisors is an integer number (5496300).

Almost surely, 2^106817936 is an apocalyptic number.

106817936 is a gapful number since it is divisible by the number (16) 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 106817936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109926000).

106817936 is an abundant number, since it is smaller than the sum of its proper divisors (113034064).

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

106817936 is a wasteful number, since it uses less digits than its factorization.

106817936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 106817936 is about 10335.2762904530. The cubic root of 106817936 is about 474.4765217380.

The spelling of 106817936 in words is "one hundred six million, eight hundred seventeen thousand, nine hundred thirty-six".