109552032 has 72 divisors (see below), whose sum is σ = 315360864. Its totient is φ = 36069504.

The previous prime is 109551991. The next prime is 109552039. The reversal of 109552032 is 230255901.

109552032 is a `hidden beast` number, since 109 + 5 + 520 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×109552032³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 109551987 and 109552005.

It is not an unprimeable number, because it can be changed into a prime (109552039) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21613 + ... + 26195.

It is an arithmetic number, because the mean of its divisors is an integer number (4380012).

Almost surely, 2^109552032 is an apocalyptic number.

109552032 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 109552032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157680432).

109552032 is an abundant number, since it is smaller than the sum of its proper divisors (205808832).

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

109552032 is a wasteful number, since it uses less digits than its factorization.

109552032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 109552032 is about 10466.7106580816. The cubic root of 109552032 is about 478.4906756830.

The spelling of 109552032 in words is "one hundred nine million, five hundred fifty-two thousand, thirty-two".