106224661116 has 96 divisors (see below), whose sum is σ = 314838720000. Its totient is φ = 30340358784.

The previous prime is 106224661097. The next prime is 106224661129. The reversal of 106224661116 is 611166422601.

106224661116 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 24 + 6 + 611 + 16 = 666.

It is a super-2 number, since 2×106224661116² (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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2587075 + ... + 2627813.

It is an arithmetic number, because the mean of its divisors is an integer number (3279570000).

Almost surely, 2^106224661116 is an apocalyptic number.

It is an amenable number.

106224661116 is an abundant number, since it is smaller than the sum of its proper divisors (208614058884).

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

106224661116 is a wasteful number, since it uses less digits than its factorization.

106224661116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44208 (or 44200 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 106224661116 in words is "one hundred six billion, two hundred twenty-four million, six hundred sixty-one thousand, one hundred sixteen".