106769795328 has 1152 divisors, whose sum is σ = 404640051200. Its totient is φ = 27088846848.

The previous prime is 106769795311. The next prime is 106769795333. The reversal of 106769795328 is 823597967601.

106769795328 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 6 + 97 + 9 + 532 + 8 = 666.

106769795328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×106769795328³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1462599900 + ... + 1462599972.

Almost surely, 2^106769795328 is an apocalyptic number.

106769795328 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 106769795328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202320025600).

106769795328 is an abundant number, since it is smaller than the sum of its proper divisors (297870255872).

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

106769795328 is a wasteful number, since it uses less digits than its factorization.

106769795328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 106769795328 in words is "one hundred six billion, seven hundred sixty-nine million, seven hundred ninety-five thousand, three hundred twenty-eight".