106844832 has 60 divisors (see below), whose sum is σ = 314235306. Its totient is φ = 35614080.

The previous prime is 106844831. The next prime is 106844849. The reversal of 106844832 is 238448601.

It can be written as a sum of positive squares in only one way, i.e., 102333456 + 4511376 = 10116^2 + 2124^2 .

It is a super-2 number, since 2×106844832² = 22831636250216448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106844831) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18019 + ... + 23202.

Almost surely, 2^106844832 is an apocalyptic number.

106844832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106844832 is an abundant number, since it is smaller than the sum of its proper divisors (207390474).

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

106844832 is an equidigital number, since it uses as much as digits as its factorization.

106844832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41243 (or 41226 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 106844832 is about 10336.5773832541. The cubic root of 106844832 is about 474.5163416724.

The spelling of 106844832 in words is "one hundred six million, eight hundred forty-four thousand, eight hundred thirty-two".