108305640 has 192 divisors, whose sum is σ = 384609600. Its totient is φ = 27104256.

The previous prime is 108305629. The next prime is 108305653. The reversal of 108305640 is 46503801.

108305640 is a `hidden beast` number, since 10 + 8 + 3 + 0 + 5 + 640 = 666.

It is a super-2 number, since 2×108305640² = 23460223311619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 311947 + ... + 312293.

It is an arithmetic number, because the mean of its divisors is an integer number (2003175).

Almost surely, 2^108305640 is an apocalyptic number.

108305640 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 108305640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192304800).

108305640 is an abundant number, since it is smaller than the sum of its proper divisors (276303960).

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

108305640 is a wasteful number, since it uses less digits than its factorization.

108305640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 108305640 is about 10406.9995675987. Note that the first 3 decimals coincide. The cubic root of 108305640 is about 476.6691269753.

The spelling of 108305640 in words is "one hundred eight million, three hundred five thousand, six hundred forty".