106839936 has 96 divisors (see below), whose sum is σ = 351390000. Its totient is φ = 30523392.

The previous prime is 106839871. The next prime is 106839937. The reversal of 106839936 is 639938601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106839936² = 22829543848968192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106839891 and 106839900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106839937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1440 + ... + 14688.

Almost surely, 2^106839936 is an apocalyptic number.

106839936 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 106839936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175695000).

106839936 is an abundant number, since it is smaller than the sum of its proper divisors (244550064).

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

106839936 is a wasteful number, since it uses less digits than its factorization.

106839936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13276 (or 13261 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 106839936 is about 10336.3405516653. The cubic root of 106839936 is about 474.5090935679.

The spelling of 106839936 in words is "one hundred six million, eight hundred thirty-nine thousand, nine hundred thirty-six".