106180281872 has 80 divisors (see below), whose sum is σ = 252538896000. Its totient is φ = 43110748800.

The previous prime is 106180281829. The next prime is 106180281901. The reversal of 106180281872 is 278182081601.

It is a super-2 number, since 2×106180281872² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404879 + ... + 613422.

It is an arithmetic number, because the mean of its divisors is an integer number (3156736200).

Almost surely, 2^106180281872 is an apocalyptic number.

It is an amenable number.

106180281872 is an abundant number, since it is smaller than the sum of its proper divisors (146358614128).

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

106180281872 is a wasteful number, since it uses less digits than its factorization.

106180281872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018349 (or 1018329 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 44.

The spelling of 106180281872 in words is "one hundred six billion, one hundred eighty million, two hundred eighty-one thousand, eight hundred seventy-two".