106050441181100 has 72 divisors (see below), whose sum is σ = 247834258977648. Its totient is φ = 39156685344000.

The previous prime is 106050441181081. The next prime is 106050441181121. The reversal of 106050441181100 is 1181144050601.

It is a super-2 number, since 2×106050441181100² (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 (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146605502 + ... + 147327098.

Almost surely, 2^{106050441181100} is an apocalyptic number.

106050441181100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106050441181100 is an abundant number, since it is smaller than the sum of its proper divisors (141783817796548).

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

106050441181100 is a wasteful number, since it uses less digits than its factorization.

106050441181100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834675 (or 834668 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 32.

The spelling of 106050441181100 in words is "one hundred six trillion, fifty billion, four hundred forty-one million, one hundred eighty-one thousand, one hundred".