106406114112 has 84 divisors (see below), whose sum is σ = 305049590560. Its totient is φ = 35462230272.

The previous prime is 106406114053. The next prime is 106406114161. The reversal of 106406114112 is 211411604601.

106406114112 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 0 + 611 + 41 + 1 + 2 = 666.

It is a super-2 number, since 2×106406114112² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 3951189 + ... + 3978027.

Almost surely, 2^106406114112 is an apocalyptic number.

106406114112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106406114112 is an abundant number, since it is smaller than the sum of its proper divisors (198643476448).

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

106406114112 is a wasteful number, since it uses less digits than its factorization.

106406114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33740 (or 33727 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 106406114112 its reverse (211411604601), we get a palindrome (317817718713).

The spelling of 106406114112 in words is "one hundred six billion, four hundred six million, one hundred fourteen thousand, one hundred twelve".