106664930149824 has 1120 divisors, whose sum is σ = 368308545454080. Its totient is φ = 30276229496832.

The previous prime is 106664930149823. The next prime is 106664930149853. The reversal of 106664930149824 is 428941039466601.

It is a happy number.

It is a super-2 number, since 2×106664930149824² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106664930149823) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29769724737 + ... + 29769728319.

It is an arithmetic number, because the mean of its divisors is an integer number (328846915584).

Almost surely, 2^{106664930149824} 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 106664930149824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184154272727040).

106664930149824 is an abundant number, since it is smaller than the sum of its proper divisors (261643615304256).

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

106664930149824 is a wasteful number, since it uses less digits than its factorization.

106664930149824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4439 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 106664930149824 in words is "one hundred six trillion, six hundred sixty-four billion, nine hundred thirty million, one hundred forty-nine thousand, eight hundred twenty-four".