100441012414305 has 32 divisors (see below), whose sum is σ = 163474798014720. Its totient is φ = 52646928526080.

The previous prime is 100441012414289. The next prime is 100441012414343. The reversal of 100441012414305 is 503414210144001.

It is not a de Polignac number, because 100441012414305 - 2⁴ = 100441012414289 is a prime.

It is a super-2 number, since 2×100441012414305² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44138085 + ... + 46357874.

It is an arithmetic number, because the mean of its divisors is an integer number (5108587437960).

Almost surely, 2^{100441012414305} is an apocalyptic number.

100441012414305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100441012414305 is a deficient number, since it is larger than the sum of its proper divisors (63033785600415).

100441012414305 is a wasteful number, since it uses less digits than its factorization.

100441012414305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90497241.

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 100441012414305 its reverse (503414210144001), we get a palindrome (603855222558306).

The spelling of 100441012414305 in words is "one hundred trillion, four hundred forty-one billion, twelve million, four hundred fourteen thousand, three hundred five".