106726306401792 has 1920 divisors, whose sum is σ = 403518538874880. Its totient is φ = 26354454036480.

The previous prime is 106726306401779. The next prime is 106726306401797. The reversal of 106726306401792 is 297104603627601.

106726306401792 is a `hidden beast` number, since 106 + 7 + 2 + 63 + 0 + 6 + 401 + 79 + 2 = 666.

It is a super-2 number, since 2×106726306401792² (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 (106726306401797) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 175825875153 + ... + 175825875759.

It is an arithmetic number, because the mean of its divisors is an integer number (210165905664).

Almost surely, 2^{106726306401792} is an apocalyptic number.

106726306401792 is a gapful number since it is divisible by the number (12) 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 106726306401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201759269437440).

106726306401792 is an abundant number, since it is smaller than the sum of its proper divisors (296792232473088).

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

106726306401792 is a wasteful number, since it uses less digits than its factorization.

106726306401792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 106726306401792 in words is "one hundred six trillion, seven hundred twenty-six billion, three hundred six million, four hundred one thousand, seven hundred ninety-two".