44100105000 has 160 divisors (see below), whose sum is σ = 157450349760. Its totient is φ = 10080000000.

The previous prime is 44100104947. The next prime is 44100105011. The reversal of 44100105000 is 50100144.

It is a super-2 number, since 2×44100105000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105001 + ... + 315000.

It is an arithmetic number, because the mean of its divisors is an integer number (984064686).

Almost surely, 2^44100105000 is an apocalyptic number.

44100105000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44100105000 is an abundant number, since it is smaller than the sum of its proper divisors (113350244760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44100105000 is a wasteful number, since it uses less digits than its factorization.

44100105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420037 (or 420018 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 44100105000 its reverse (50100144), we get a palindrome (44150205144).

The spelling of 44100105000 in words is "forty-four billion, one hundred million, one hundred five thousand".