108700032 has 192 divisors, whose sum is σ = 345351600. Its totient is φ = 30191616.

The previous prime is 108700027. The next prime is 108700051. The reversal of 108700032 is 230007801.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 108699981 and 108700008.

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 23 ways as a sum of consecutive naturals, for example, 997194 + ... + 997302.

Almost surely, 2^108700032 is an apocalyptic number.

108700032 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 108700032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172675800).

108700032 is an abundant number, since it is smaller than the sum of its proper divisors (236651568).

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

108700032 is a wasteful number, since it uses less digits than its factorization.

108700032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 108700032 is about 10425.9307498180. The cubic root of 108700032 is about 477.2470185748.

Adding to 108700032 its reverse (230007801), we get a palindrome (338707833).

The spelling of 108700032 in words is "one hundred eight million, seven hundred thousand, thirty-two".