108001220 has 36 divisors (see below), whose sum is σ = 234929604. Its totient is φ = 41704320.

The previous prime is 108001217. The next prime is 108001277. The reversal of 108001220 is 22100801.

It can be written as a sum of positive squares in 6 ways, for example, as 2815684 + 105185536 = 1678^2 + 10256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 108001195 and 108001204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13610 + ... + 20030.

Almost surely, 2^108001220 is an apocalyptic number.

108001220 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 108001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117464802).

108001220 is an abundant number, since it is smaller than the sum of its proper divisors (126928384).

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

108001220 is a wasteful number, since it uses less digits than its factorization.

108001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6488 (or 6457 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 108001220 is about 10392.3635425249. The cubic root of 108001220 is about 476.2221087590. Note that the first 3 decimals are identical.

The spelling of 108001220 in words is "one hundred eight million, one thousand, two hundred twenty".