106641176641 has 2 divisors, whose sum is σ = 106641176642. Its totient is φ = 106641176640.

The previous prime is 106641176627. The next prime is 106641176687. The reversal of 106641176641 is 146671146601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88125859600 + 18515317041 = 296860^2 + 136071^2 .

It is a cyclic number.

It is not a de Polignac number, because 106641176641 - 2¹⁷ = 106641045569 is a prime.

It is a super-3 number, since 3×106641176641³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (106641176611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53320588320 + 53320588321.

It is an arithmetic number, because the mean of its divisors is an integer number (53320588321).

Almost surely, 2^106641176641 is an apocalyptic number.

It is an amenable number.

106641176641 is a deficient number, since it is larger than the sum of its proper divisors (1).

106641176641 is an equidigital number, since it uses as much as digits as its factorization.

106641176641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 106641176641 in words is "one hundred six billion, six hundred forty-one million, one hundred seventy-six thousand, six hundred forty-one".