106445544601 has 8 divisors (see below), whose sum is σ = 116364844800. Its totient is φ = 96566649840.

The previous prime is 106445544581. The next prime is 106445544617.

It is a happy number.

106445544601 is nontrivially palindromic in base 10.

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 106445544601 - 2¹⁵ = 106445511833 is a prime.

It is a super-2 number, since 2×106445544601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106445544671) 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, 10095846 + ... + 10106383.

It is an arithmetic number, because the mean of its divisors is an integer number (14545605600).

Almost surely, 2^106445544601 is an apocalyptic number.

106445544601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106445544601 is a deficient number, since it is larger than the sum of its proper divisors (9919300199).

106445544601 is a wasteful number, since it uses less digits than its factorization.

106445544601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20202719.

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 106445544601 in words is "one hundred six billion, four hundred forty-five million, five hundred forty-four thousand, six hundred one".