108742032 has 120 divisors (see below), whose sum is σ = 350049024. Its totient is φ = 30868992.

The previous prime is 108742031. The next prime is 108742033. The reversal of 108742032 is 230247801.

It is an interprime number because it is at equal distance from previous prime (108742031) and next prime (108742033).

It is a junction number, because it is equal to n+sod(n) for n = 108741987 and 108742005.

It is not an unprimeable number, because it can be changed into a prime (108742031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234633 + ... + 235095.

Almost surely, 2^108742032 is an apocalyptic number.

108742032 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 108742032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175024512).

108742032 is an abundant number, since it is smaller than the sum of its proper divisors (241306992).

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

108742032 is a wasteful number, since it uses less digits than its factorization.

108742032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 108742032 is about 10427.9447639504. The cubic root of 108742032 is about 477.3084775991.

Adding to 108742032 its reverse (230247801), we get a palindrome (338989833).

The spelling of 108742032 in words is "one hundred eight million, seven hundred forty-two thousand, thirty-two".