106611163041001 has 8 divisors (see below), whose sum is σ = 107327910861000. Its totient is φ = 105894431710080.

The previous prime is 106611163040981. The next prime is 106611163041007. The reversal of 106611163041001 is 100140361116601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 97431379600 + 106513731661401 = 312140^2 + 10320549^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106611163041001 - 2¹⁹ = 106611162516713 is a prime.

It is a super-2 number, since 2×106611163041001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106611163041007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8992095 + ... + 17148763.

It is an arithmetic number, because the mean of its divisors is an integer number (13415988857625).

Almost surely, 2^{106611163041001} is an apocalyptic number.

It is an amenable number.

106611163041001 is a deficient number, since it is larger than the sum of its proper divisors (716747819999).

106611163041001 is an equidigital number, since it uses as much as digits as its factorization.

106611163041001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8244539.

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 106611163041001 in words is "one hundred six trillion, six hundred eleven billion, one hundred sixty-three million, forty-one thousand, one".