100105601106003 has 8 divisors (see below), whose sum is σ = 133474184366016. Its totient is φ = 66737042625000.

The previous prime is 100105601106001. The next prime is 100105601106019. The reversal of 100105601106003 is 300601106501001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100105601106003 - 2¹ = 100105601106001 is a prime.

It is a super-2 number, since 2×100105601106003² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100105601106001) 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, 7655628 + ... + 16087878.

It is an arithmetic number, because the mean of its divisors is an integer number (16684273045752).

Almost surely, 2^{100105601106003} is an apocalyptic number.

100105601106003 is a deficient number, since it is larger than the sum of its proper divisors (33368583260013).

100105601106003 is an equidigital number, since it uses as much as digits as its factorization.

100105601106003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12389505.

The product of its (nonzero) digits is 540, while the sum is 24.

Adding to 100105601106003 its reverse (300601106501001), we get a palindrome (400706707607004).

The spelling of 100105601106003 in words is "one hundred trillion, one hundred five billion, six hundred one million, one hundred six thousand, three".