106544242445601 has 16 divisors (see below), whose sum is σ = 150790501879488. Its totient is φ = 66684577920000.

The previous prime is 106544242445579. The next prime is 106544242445611.

106544242445601 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 106544242445601 - 2⁵ = 106544242445569 is a prime.

It is a super-2 number, since 2×106544242445601² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106544242445611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2604845875 + ... + 2604886776.

It is an arithmetic number, because the mean of its divisors is an integer number (9424406367468).

Almost surely, 2^{106544242445601} is an apocalyptic number.

It is an amenable number.

106544242445601 is a deficient number, since it is larger than the sum of its proper divisors (44246259433887).

106544242445601 is a wasteful number, since it uses less digits than its factorization.

106544242445601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5209733072.

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 106544242445601 in words is "one hundred six trillion, five hundred forty-four billion, two hundred forty-two million, four hundred forty-five thousand, six hundred one".