105536632411 has 8 divisors (see below), whose sum is σ = 120694417920. Its totient is φ = 90399127848.

The previous prime is 105536632391. The next prime is 105536632447. The reversal of 105536632411 is 114236635501.

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 105536632411 - 2²¹ = 105534535259 is a prime.

It is a super-2 number, since 2×105536632411² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105536632711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5059081 + ... + 5079898.

It is an arithmetic number, because the mean of its divisors is an integer number (15086802240).

Almost surely, 2^105536632411 is an apocalyptic number.

105536632411 is a deficient number, since it is larger than the sum of its proper divisors (15157785509).

105536632411 is a wasteful number, since it uses less digits than its factorization.

105536632411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10140473.

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 105536632411 in words is "one hundred five billion, five hundred thirty-six million, six hundred thirty-two thousand, four hundred eleven".