105632040041 has 8 divisors (see below), whose sum is σ = 115237479168. Its totient is φ = 96027022000.

The previous prime is 105632040029. The next prime is 105632040043. The reversal of 105632040041 is 140040236501.

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 105632040041 - 2⁶ = 105632039977 is a prime.

It is a super-3 number, since 3×105632040041³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105632040043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 663176 + ... + 806886.

It is an arithmetic number, because the mean of its divisors is an integer number (14404684896).

Almost surely, 2^105632040041 is an apocalyptic number.

105632040041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105632040041 is a deficient number, since it is larger than the sum of its proper divisors (9605439127).

105632040041 is a wasteful number, since it uses less digits than its factorization.

105632040041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210543.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 105632040041 its reverse (140040236501), we get a palindrome (245672276542).

The spelling of 105632040041 in words is "one hundred five billion, six hundred thirty-two million, forty thousand, forty-one".