106223406912 has 224 divisors, whose sum is σ = 357281683200. Its totient is φ = 30316087296.

The previous prime is 106223406907. The next prime is 106223406937. The reversal of 106223406912 is 219604322601.

It is a happy number.

106223406912 is a `hidden beast` number, since 10 + 6 + 223 + 406 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×106223406912² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 12248914 + ... + 12257582.

Almost surely, 2^106223406912 is an apocalyptic number.

106223406912 is a gapful number since it is divisible by the number (12) 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 106223406912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178640841600).

106223406912 is an abundant number, since it is smaller than the sum of its proper divisors (251058276288).

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

106223406912 is a wasteful number, since it uses less digits than its factorization.

106223406912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9710 (or 9694 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 106223406912 in words is "one hundred six billion, two hundred twenty-three million, four hundred six thousand, nine hundred twelve".