106771658328 has 128 divisors (see below), whose sum is σ = 314764228800. Its totient is φ = 33419132928.

The previous prime is 106771658263. The next prime is 106771658351. The reversal of 106771658328 is 823856177601.

It is a happy number.

It is a super-2 number, since 2×106771658328² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1556400 + ... + 1623552.

Almost surely, 2^106771658328 is an apocalyptic number.

106771658328 is a gapful number since it is divisible by the number (18) 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 106771658328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157382114400).

106771658328 is an abundant number, since it is smaller than the sum of its proper divisors (207992570472).

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

106771658328 is a wasteful number, since it uses less digits than its factorization.

106771658328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67618 (or 67608 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 106771658328 in words is "one hundred six billion, seven hundred seventy-one million, six hundred fifty-eight thousand, three hundred twenty-eight".