106936032 has 144 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 30143232.

The previous prime is 106936013. The next prime is 106936061. The reversal of 106936032 is 230639601.

It is a happy number.

It is a super-2 number, since 2×106936032² = 22870629879810048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597319 + ... + 597497.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2^106936032 is an apocalyptic number.

106936032 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 106936032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

106936032 is an abundant number, since it is smaller than the sum of its proper divisors (224010528).

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

106936032 is a wasteful number, since it uses less digits than its factorization.

106936032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 106936032 is about 10340.9879605384. The cubic root of 106936032 is about 474.6513149238.

The spelling of 106936032 in words is "one hundred six million, nine hundred thirty-six thousand, thirty-two".