108956500 has 48 divisors (see below), whose sum is σ = 239016960. Its totient is φ = 43389600.

The previous prime is 108956489. The next prime is 108956501. The reversal of 108956500 is 5659801.

It is a super-5 number, since 5×108956500⁵ (a number of 41 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108956501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179197 + ... + 179803.

It is an arithmetic number, because the mean of its divisors is an integer number (4979520).

Almost surely, 2^108956500 is an apocalyptic number.

108956500 is a gapful number since it is divisible by the number (10) 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 108956500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508480).

108956500 is an abundant number, since it is smaller than the sum of its proper divisors (130060460).

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

108956500 is a wasteful number, since it uses less digits than its factorization.

108956500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 108956500 is about 10438.2230288493. The cubic root of 108956500 is about 477.6220643138.

The spelling of 108956500 in words is "one hundred eight million, nine hundred fifty-six thousand, five hundred".