108245600 has 72 divisors (see below), whose sum is σ = 265764240. Its totient is φ = 43051520.

The previous prime is 108245597. The next prime is 108245629. The reversal of 108245600 is 6542801.

It is a self number, because there is not a number n which added to its sum of digits gives 108245600.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 214949 + ... + 215451.

It is an arithmetic number, because the mean of its divisors is an integer number (3691170).

Almost surely, 2^108245600 is an apocalyptic number.

108245600 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 108245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132882120).

108245600 is an abundant number, since it is smaller than the sum of its proper divisors (157518640).

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

108245600 is a wasteful number, since it uses less digits than its factorization.

108245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 108245600 is about 10404.1145706879. The cubic root of 108245600 is about 476.5810290565.

The spelling of 108245600 in words is "one hundred eight million, two hundred forty-five thousand, six hundred".