100445544001 has 8 divisors (see below), whose sum is σ = 115344165600. Its totient is φ = 86508123840.

The previous prime is 100445543993. The next prime is 100445544097.

100445544001 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 100445544001 - 2³ = 100445543993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100445544301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240300136 + ... + 240300553.

It is an arithmetic number, because the mean of its divisors is an integer number (14418020700).

Almost surely, 2^100445544001 is an apocalyptic number.

100445544001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100445544001 is a deficient number, since it is larger than the sum of its proper divisors (14898621599).

100445544001 is a wasteful number, since it uses less digits than its factorization.

100445544001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480600719.

The product of its (nonzero) digits is 6400, while the sum is 28.

It can be divided in two parts, 100445 and 544001, that added together give a palindrome (644446).

The spelling of 100445544001 in words is "one hundred billion, four hundred forty-five million, five hundred forty-four thousand, one".