106438832 has 40 divisors (see below), whose sum is σ = 214272000. Its totient is φ = 51182912.

The previous prime is 106438831. The next prime is 106438867. The reversal of 106438832 is 238834601.

It is a happy number.

It is a super-2 number, since 2×106438832² = 22658449915048448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106438792 and 106438801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106438831) 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, 43169 + ... + 45567.

It is an arithmetic number, because the mean of its divisors is an integer number (5356800).

Almost surely, 2^106438832 is an apocalyptic number.

It is an amenable number.

106438832 is an abundant number, since it is smaller than the sum of its proper divisors (107833168).

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

106438832 is a wasteful number, since it uses less digits than its factorization.

106438832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 106438832 is about 10316.9196953354. The cubic root of 106438832 is about 473.9145400713.

The spelling of 106438832 in words is "one hundred six million, four hundred thirty-eight thousand, eight hundred thirty-two".