106832912 has 40 divisors (see below), whose sum is σ = 214598616. Its totient is φ = 51480576.

The previous prime is 106832911. The next prime is 106832923. The reversal of 106832912 is 219238601.

It can be written as a sum of positive squares in 4 ways, for example, as 1893376 + 104939536 = 1376^2 + 10244^2 .

It is a super-2 number, since 2×106832912² = 22826542172799488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106832911) 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, 66098 + ... + 67694.

Almost surely, 2^106832912 is an apocalyptic number.

It is an amenable number.

106832912 is an abundant number, since it is smaller than the sum of its proper divisors (107765704).

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

106832912 is a wasteful number, since it uses less digits than its factorization.

106832912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 106832912 is about 10336.0007739938. Note that the first 3 decimals coincide. The cubic root of 106832912 is about 474.4986947569.

The spelling of 106832912 in words is "one hundred six million, eight hundred thirty-two thousand, nine hundred twelve".