108995040 has 288 divisors, whose sum is σ = 464196096. Its totient is φ = 22625280.

The previous prime is 108995027. The next prime is 108995057. The reversal of 108995040 is 40599801.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 108994986 and 108995004.

It is a congruent number.

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, 110389 + ... + 111371.

It is an arithmetic number, because the mean of its divisors is an integer number (1611792).

Almost surely, 2^108995040 is an apocalyptic number.

108995040 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 108995040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232098048).

108995040 is an abundant number, since it is smaller than the sum of its proper divisors (355201056).

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

108995040 is a wasteful number, since it uses less digits than its factorization.

108995040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 108995040 is about 10440.0689652895. The cubic root of 108995040 is about 477.6783723646.

The spelling of 108995040 in words is "one hundred eight million, nine hundred ninety-five thousand, forty".