100448000641 has 16 divisors (see below), whose sum is σ = 103930675200. Its totient is φ = 97022519568.

The previous prime is 100448000633. The next prime is 100448000677. The reversal of 100448000641 is 146000844001.

It is a cyclic number.

It is not a de Polignac number, because 100448000641 - 2³ = 100448000633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100448000141) 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, 10774180 + ... + 10783498.

It is an arithmetic number, because the mean of its divisors is an integer number (6495667200).

Almost surely, 2^100448000641 is an apocalyptic number.

100448000641 is the 200448-th centered pentagonal number.

It is an amenable number.

100448000641 is a deficient number, since it is larger than the sum of its proper divisors (3482674559).

100448000641 is an equidigital number, since it uses as much as digits as its factorization.

100448000641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12348.

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 100448000641 its reverse (146000844001), we get a palindrome (246448844642).

The spelling of 100448000641 in words is "one hundred billion, four hundred forty-eight million, six hundred forty-one", and thus it is an aban number.