105505005501001 has 8 divisors (see below), whose sum is σ = 105721387327584. Its totient is φ = 105288629789280.

The previous prime is 105505005500981. The next prime is 105505005501017. The reversal of 105505005501001 is 100105500505501.

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 105505005501001 - 2⁵ = 105505005500969 is a prime.

It is a super-2 number, since 2×105505005501001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105505005501041) 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, 33853141 + ... + 36838093.

It is an arithmetic number, because the mean of its divisors is an integer number (13215173415948).

Almost surely, 2^{105505005501001} is an apocalyptic number.

It is an amenable number.

105505005501001 is a deficient number, since it is larger than the sum of its proper divisors (216381826583).

105505005501001 is an equidigital number, since it uses as much as digits as its factorization.

105505005501001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057431.

The product of its (nonzero) digits is 3125, while the sum is 28.

The spelling of 105505005501001 in words is "one hundred five trillion, five hundred five billion, five million, five hundred one thousand, one".