106632813882181 has 4 divisors (see below), whose sum is σ = 106641429295212. Its totient is φ = 106624198469152.

The previous prime is 106632813882163. The next prime is 106632813882187. The reversal of 106632813882181 is 181288318236601.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 68476187701156 + 38156626181025 = 8275034^2 + 6177105^2 .

It is a cyclic number.

It is not a de Polignac number, because 106632813882181 - 2²⁷ = 106632679664453 is a prime.

It is a super-2 number, since 2×106632813882181² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106632813882187) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4307687950 + ... + 4307712703.

It is an arithmetic number, because the mean of its divisors is an integer number (26660357323803).

Almost surely, 2^{106632813882181} is an apocalyptic number.

It is an amenable number.

106632813882181 is a deficient number, since it is larger than the sum of its proper divisors (8615413031).

106632813882181 is an equidigital number, since it uses as much as digits as its factorization.

106632813882181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8615413030.

The product of its (nonzero) digits is 5308416, while the sum is 58.

The spelling of 106632813882181 in words is "one hundred six trillion, six hundred thirty-two billion, eight hundred thirteen million, eight hundred eighty-two thousand, one hundred eighty-one".