106172274300200 has 96 divisors (see below), whose sum is σ = 254817600510720. Its totient is φ = 41098276800000.

The previous prime is 106172274300199. The next prime is 106172274300251. The reversal of 106172274300200 is 2003472271601.

It is a super-2 number, since 2×106172274300200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568886900 + ... + 569073500.

It is an arithmetic number, because the mean of its divisors is an integer number (2654350005320).

Almost surely, 2^{106172274300200} is an apocalyptic number.

106172274300200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106172274300200 is an abundant number, since it is smaller than the sum of its proper divisors (148645326210520).

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

106172274300200 is a wasteful number, since it uses less digits than its factorization.

106172274300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278419 (or 278410 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 106172274300200 in words is "one hundred six trillion, one hundred seventy-two billion, two hundred seventy-four million, three hundred thousand, two hundred".