108001880208 has 60 divisors (see below), whose sum is σ = 305651424780. Its totient is φ = 35596121088.

The previous prime is 108001880197. The next prime is 108001880213. The reversal of 108001880208 is 802088100801.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24670356624 + 83331523584 = 157068^2 + 288672^2 .

It is a super-3 number, since 3×108001880208³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4200741 + ... + 4226372.

It is an arithmetic number, because the mean of its divisors is an integer number (5094190413).

Almost surely, 2^108001880208 is an apocalyptic number.

108001880208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

108001880208 is an abundant number, since it is smaller than the sum of its proper divisors (197649544572).

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

108001880208 is a wasteful number, since it uses less digits than its factorization.

108001880208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8427216 (or 8427207 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The spelling of 108001880208 in words is "one hundred eight billion, one million, eight hundred eighty thousand, two hundred eight".