106988585889601 has 4 divisors (see below), whose sum is σ = 115218477111892. Its totient is φ = 98758694667312.

The previous prime is 106988585889569. The next prime is 106988585889607.

106988585889601 is nontrivially palindromic in base 10.

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 25005050255025 + 81983535634576 = 5000505^2 + 9054476^2 .

It is a cyclic number.

It is not a de Polignac number, because 106988585889601 - 2⁵ = 106988585889569 is a prime.

It is a super-2 number, since 2×106988585889601² (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 (106988585889607) 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, 4114945611126 + ... + 4114945611151.

It is an arithmetic number, because the mean of its divisors is an integer number (28804619277973).

Almost surely, 2^{106988585889601} is an apocalyptic number.

It is an amenable number.

106988585889601 is a deficient number, since it is larger than the sum of its proper divisors (8229891222291).

106988585889601 is an equidigital number, since it uses as much as digits as its factorization.

106988585889601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8229891222290.

The product of its (nonzero) digits is 2388787200, while the sum is 82.

The spelling of 106988585889601 in words is "one hundred six trillion, nine hundred eighty-eight billion, five hundred eighty-five million, eight hundred eighty-nine thousand, six hundred one".