108429840 has 200 divisors, whose sum is σ = 390254040. Its totient is φ = 27869184.

The previous prime is 108429829. The next prime is 108429877. The reversal of 108429840 is 48924801.

It can be written as a sum of positive squares in 4 ways, for example, as 43401744 + 65028096 = 6588^2 + 8064^2 .

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 = 108429795 and 108429804.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187632 + ... + 188208.

Almost surely, 2^108429840 is an apocalyptic number.

108429840 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 108429840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195127020).

108429840 is an abundant number, since it is smaller than the sum of its proper divisors (281824200).

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

108429840 is a wasteful number, since it uses less digits than its factorization.

108429840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 108429840 is about 10412.9649956196. The cubic root of 108429840 is about 476.8512648886.

The spelling of 108429840 in words is "one hundred eight million, four hundred twenty-nine thousand, eight hundred forty".