106835936 has 48 divisors (see below), whose sum is σ = 222768000. Its totient is φ = 50295168.

The previous prime is 106835933. The next prime is 106835987. The reversal of 106835936 is 639538601.

It is a super-2 number, since 2×106835936² = 22827834441992192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106835893 and 106835902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106835933) 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, 120551 + ... + 121433.

It is an arithmetic number, because the mean of its divisors is an integer number (4641000).

Almost surely, 2^106835936 is an apocalyptic number.

106835936 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 106835936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111384000).

106835936 is an abundant number, since it is smaller than the sum of its proper divisors (115932064).

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

106835936 is a wasteful number, since it uses less digits than its factorization.

106835936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 106835936 is about 10336.1470577774. The cubic root of 106835936 is about 474.5031717496.

The spelling of 106835936 in words is "one hundred six million, eight hundred thirty-five thousand, nine hundred thirty-six".