106184616286464 has 243 divisors, whose sum is σ = 308604396011457. Its totient is φ = 35114092572672.

The previous prime is 106184616286453. The next prime is 106184616286477. The reversal of 106184616286464 is 464682616481601.

The square root of 106184616286464 is 10304592.

It is a perfect power (a square), and thus also a powerful number.

106184616286464 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 8 + 4 + 6 + 162 + 8 + 6 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62373349382400 + 43811266904064 = 7897680^2 + 6619008^2 .

It is a super-2 number, since 2×106184616286464² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67762996209 + ... + 67762997775.

Almost surely, 2^{106184616286464} is an apocalyptic number.

106184616286464 is the 10304592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106184616286464

106184616286464 is an abundant number, since it is smaller than the sum of its proper divisors (202419779724993).

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

106184616286464 is an frugal number, since it uses more digits than its factorization.

106184616286464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 106184616286464 in words is "one hundred six trillion, one hundred eighty-four billion, six hundred sixteen million, two hundred eighty-six thousand, four hundred sixty-four".