105105005501001 has 16 divisors (see below), whose sum is σ = 153090296905728. Its totient is φ = 63612382957200.

The previous prime is 105105005500969. The next prime is 105105005501003. The reversal of 105105005501001 is 100105500501501.

It is not a de Polignac number, because 105105005501001 - 2⁵ = 105105005500969 is a prime.

It is a super-2 number, since 2×105105005501001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105105005501003) 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, 2190485065 + ... + 2190533046.

It is an arithmetic number, because the mean of its divisors is an integer number (9568143556608).

Almost surely, 2^{105105005501001} is an apocalyptic number.

105105005501001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105105005501001 is a deficient number, since it is larger than the sum of its proper divisors (47985291404727).

105105005501001 is a wasteful number, since it uses less digits than its factorization.

105105005501001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4381018852.

The product of its (nonzero) digits is 625, while the sum is 24.

The spelling of 105105005501001 in words is "one hundred five trillion, one hundred five billion, five million, five hundred one thousand, one".