106182717320196 has 576 divisors, whose sum is σ = 314886344048640. Its totient is φ = 29832219648000.

The previous prime is 106182717320179. The next prime is 106182717320227. The reversal of 106182717320196 is 691023717281601.

106182717320196 is a `hidden beast` number, since 1 + 0 + 6 + 18 + 271 + 73 + 201 + 96 = 666.

It is a super-2 number, since 2×106182717320196² (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 191 ways as a sum of consecutive naturals, for example, 30679777906 + ... + 30679781366.

It is an arithmetic number, because the mean of its divisors is an integer number (546677680640).

Almost surely, 2^{106182717320196} 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 106182717320196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157443172024320).

106182717320196 is an abundant number, since it is smaller than the sum of its proper divisors (208703626728444).

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

106182717320196 is a wasteful number, since it uses less digits than its factorization.

106182717320196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 106182717320196 in words is "one hundred six trillion, one hundred eighty-two billion, seven hundred seventeen million, three hundred twenty thousand, one hundred ninety-six".