108519840 has 576 divisors, whose sum is σ = 475517952. Its totient is φ = 22118400.

The previous prime is 108519751. The next prime is 108519841. The reversal of 108519840 is 48915801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 108519795 and 108519804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108519841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3500625 + ... + 3500655.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 2^108519840 is an apocalyptic number.

108519840 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 108519840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

108519840 is an abundant number, since it is smaller than the sum of its proper divisors (366998112).

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

108519840 is a wasteful number, since it uses less digits than its factorization.

108519840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 108519840 is about 10417.2856349435. The cubic root of 108519840 is about 476.9831619915.

The spelling of 108519840 in words is "one hundred eight million, five hundred nineteen thousand, eight hundred forty".