108007020 has 360 divisors, whose sum is σ = 405543600. Its totient is φ = 23950080.

The previous prime is 108006979. The next prime is 108007021. The reversal of 108007020 is 20700801.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 108006984 and 108007002.

It is not an unprimeable number, because it can be changed into a prime (108007021) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3724366 + ... + 3724394.

It is an arithmetic number, because the mean of its divisors is an integer number (1126510).

Almost surely, 2^108007020 is an apocalyptic number.

108007020 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 108007020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202771800).

108007020 is an abundant number, since it is smaller than the sum of its proper divisors (297536580).

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

108007020 is a wasteful number, since it uses less digits than its factorization.

108007020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 108007020 is about 10392.6425898325. The cubic root of 108007020 is about 476.2306334737.

Adding to 108007020 its reverse (20700801), we get a palindrome (128707821).

The spelling of 108007020 in words is "one hundred eight million, seven thousand, twenty".