108765540 has 144 divisors (see below), whose sum is σ = 362417328. Its totient is φ = 26237952.

The previous prime is 108765529. The next prime is 108765581. The reversal of 108765540 is 45567801.

108765540 is a `hidden beast` number, since 108 + 7 + 6 + 5 + 540 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 147456 + 108618084 = 384^2 + 10422^2 .

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 = 108765495 and 108765504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123582 + ... + 124458.

It is an arithmetic number, because the mean of its divisors is an integer number (2516787).

Almost surely, 2^108765540 is an apocalyptic number.

108765540 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 108765540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181208664).

108765540 is an abundant number, since it is smaller than the sum of its proper divisors (253651788).

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

108765540 is a wasteful number, since it uses less digits than its factorization.

108765540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 108765540 is about 10429.0718666620. The cubic root of 108765540 is about 477.3428701856.

The spelling of 108765540 in words is "one hundred eight million, seven hundred sixty-five thousand, five hundred forty".