105100605501001 has 16 divisors (see below), whose sum is σ = 115079971958208. Its totient is φ = 95192132313600.

The previous prime is 105100605500999. The next prime is 105100605501037. The reversal of 105100605501001 is 100105506001501.

It is a cyclic number.

It is not a de Polignac number, because 105100605501001 - 2¹ = 105100605500999 is a prime.

It is a super-2 number, since 2×105100605501001² (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 (105100605501071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18805345 + ... + 23745361.

It is an arithmetic number, because the mean of its divisors is an integer number (7192498247388).

Almost surely, 2^{105100605501001} is an apocalyptic number.

105100605501001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105100605501001 is a deficient number, since it is larger than the sum of its proper divisors (9979366457207).

105100605501001 is a wasteful number, since it uses less digits than its factorization.

105100605501001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947192.

The product of its (nonzero) digits is 750, while the sum is 25.

It can be divided in two parts, 10510060 and 5501001, that added together give a palindrome (16011061).

The spelling of 105100605501001 in words is "one hundred five trillion, one hundred billion, six hundred five million, five hundred one thousand, one".