105332312011101 has 64 divisors (see below), whose sum is σ = 164001842823168. Its totient is φ = 58885740546048.

The previous prime is 105332312011093. The next prime is 105332312011243. The reversal of 105332312011101 is 101110213233501.

It is not a de Polignac number, because 105332312011101 - 2³ = 105332312011093 is a prime.

It is a super-2 number, since 2×105332312011101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105332312011001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 836658180 + ... + 836784066.

It is an arithmetic number, because the mean of its divisors is an integer number (2562528794112).

Almost surely, 2^{105332312011101} is an apocalyptic number.

It is an amenable number.

105332312011101 is a deficient number, since it is larger than the sum of its proper divisors (58669530812067).

105332312011101 is a wasteful number, since it uses less digits than its factorization.

105332312011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128090.

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

Adding to 105332312011101 its reverse (101110213233501), we get a palindrome (206442525244602).

The spelling of 105332312011101 in words is "one hundred five trillion, three hundred thirty-two billion, three hundred twelve million, eleven thousand, one hundred one".