106611444576 has 576 divisors, whose sum is σ = 390558744576. Its totient is φ = 26835148800.

The previous prime is 106611444509. The next prime is 106611444647. The reversal of 106611444576 is 675444116601.

106611444576 is a `hidden beast` number, since 1 + 0 + 6 + 61 + 14 + 4 + 4 + 576 = 666.

It is a super-2 number, since 2×106611444576² (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 95 ways as a sum of consecutive naturals, for example, 50501761 + ... + 50503871.

It is an arithmetic number, because the mean of its divisors is an integer number (678053376).

Almost surely, 2^106611444576 is an apocalyptic number.

106611444576 is a gapful number since it is divisible by the number (16) 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 106611444576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195279372288).

106611444576 is an abundant number, since it is smaller than the sum of its proper divisors (283947300000).

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

106611444576 is a wasteful number, since it uses less digits than its factorization.

106611444576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 106611444576 in words is "one hundred six billion, six hundred eleven million, four hundred forty-four thousand, five hundred seventy-six".