106771143336 has 256 divisors, whose sum is σ = 316800046080. Its totient is φ = 29562624000.

The previous prime is 106771143317. The next prime is 106771143377. The reversal of 106771143336 is 633341177601.

It is a super-2 number, since 2×106771143336² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 204934756 + ... + 204935276.

It is an arithmetic number, because the mean of its divisors is an integer number (1237500180).

Almost surely, 2^106771143336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106771143336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158400023040).

106771143336 is an abundant number, since it is smaller than the sum of its proper divisors (210028902744).

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

106771143336 is a wasteful number, since it uses less digits than its factorization.

106771143336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The spelling of 106771143336 in words is "one hundred six billion, seven hundred seventy-one million, one hundred forty-three thousand, three hundred thirty-six".