108540684 has 108 divisors (see below), whose sum is σ = 327984384. Its totient is φ = 30155328.

The previous prime is 108540659. The next prime is 108540697. The reversal of 108540684 is 486045801.

108540684 is a `hidden beast` number, since 108 + 540 + 6 + 8 + 4 = 666.

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64437 + ... + 66099.

Almost surely, 2^108540684 is an apocalyptic number.

108540684 is a gapful number since it is divisible by the number (14) 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 108540684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163992192).

108540684 is an abundant number, since it is smaller than the sum of its proper divisors (219443700).

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

108540684 is a wasteful number, since it uses less digits than its factorization.

108540684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 108540684 is about 10418.2860394597. The cubic root of 108540684 is about 477.0136989592.

The spelling of 108540684 in words is "one hundred eight million, five hundred forty thousand, six hundred eighty-four".