106653300179328 has 1024 divisors, whose sum is σ = 374242500403200. Its totient is φ = 29269373607936.

The previous prime is 106653300179299. The next prime is 106653300179347. The reversal of 106653300179328 is 823971003356601.

106653300179328 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 5 + 3 + 300 + 1 + 7 + 9 + 328 = 666.

It is a super-2 number, since 2×106653300179328² (a number of 29 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61542584350 + ... + 61542586082.

It is an arithmetic number, because the mean of its divisors is an integer number (365471191800).

Almost surely, 2^{106653300179328} is an apocalyptic number.

106653300179328 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 106653300179328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187121250201600).

106653300179328 is an abundant number, since it is smaller than the sum of its proper divisors (267589200223872).

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

106653300179328 is a wasteful number, since it uses less digits than its factorization.

106653300179328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 106653300179328 in words is "one hundred six trillion, six hundred fifty-three billion, three hundred million, one hundred seventy-nine thousand, three hundred twenty-eight".