106735232 has 64 divisors (see below), whose sum is σ = 225738240. Its totient is φ = 50181120.

The previous prime is 106735219. The next prime is 106735243. The reversal of 106735232 is 232537601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106735232² = 22784819500187648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106735195 and 106735204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146453 + ... + 147179.

It is an arithmetic number, because the mean of its divisors is an integer number (3527160).

Almost surely, 2^106735232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106735232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112869120).

106735232 is an abundant number, since it is smaller than the sum of its proper divisors (119003008).

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

106735232 is an equidigital number, since it uses as much as digits as its factorization.

106735232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 106735232 is about 10331.2744615560. The cubic root of 106735232 is about 474.3540353230.

The spelling of 106735232 in words is "one hundred six million, seven hundred thirty-five thousand, two hundred thirty-two".