106838832 has 80 divisors (see below), whose sum is σ = 290259200. Its totient is φ = 33820416.

The previous prime is 106838791. The next prime is 106838833. The reversal of 106838832 is 238838601.

It is a super-2 number, since 2×106838832² = 22829072046248448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106838833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75669 + ... + 77067.

It is an arithmetic number, because the mean of its divisors is an integer number (3628240).

Almost surely, 2^106838832 is an apocalyptic number.

106838832 is a gapful number since it is divisible by the number (12) 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 106838832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145129600).

106838832 is an abundant number, since it is smaller than the sum of its proper divisors (183420368).

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

106838832 is a wasteful number, since it uses less digits than its factorization.

106838832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 106838832 is about 10336.2871477141. The cubic root of 106838832 is about 474.5074591609.

The spelling of 106838832 in words is "one hundred six million, eight hundred thirty-eight thousand, eight hundred thirty-two".