106675872811200 has 3024 divisors, whose sum is σ = 511232964933600. Its totient is φ = 20821996339200.

The previous prime is 106675872811187. The next prime is 106675872811267. The reversal of 106675872811200 is 2118278576601.

106675872811200 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 7 + 587 + 28 + 11 + 20 + 0 = 666.

It is a super-2 number, since 2×106675872811200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 8328190396 + ... + 8328203204.

It is an arithmetic number, because the mean of its divisors is an integer number (169058520150).

Almost surely, 2^{106675872811200} is an apocalyptic number.

106675872811200 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 106675872811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255616482466800).

106675872811200 is an abundant number, since it is smaller than the sum of its proper divisors (404557092122400).

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

106675872811200 is a wasteful number, since it uses less digits than its factorization.

106675872811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12928 (or 12903 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 106675872811200 in words is "one hundred six trillion, six hundred seventy-five billion, eight hundred seventy-two million, eight hundred eleven thousand, two hundred".