105431100001 has 8 divisors (see below), whose sum is σ = 106442645760. Its totient is φ = 104423061408.

The previous prime is 105431099999. The next prime is 105431100007. The reversal of 105431100001 is 100001134501.

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 105431100001 - 2¹ = 105431099999 is a prime.

It is a super-2 number, since 2×105431100001² (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 (105431100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 816361 + ... + 936646.

It is an arithmetic number, because the mean of its divisors is an integer number (13305330720).

Almost surely, 2^105431100001 is an apocalyptic number.

It is an amenable number.

105431100001 is a deficient number, since it is larger than the sum of its proper divisors (1011545759).

105431100001 is a wasteful number, since it uses less digits than its factorization.

105431100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753583.

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 105431100001 its reverse (100001134501), we get a palindrome (205432234502).

The spelling of 105431100001 in words is "one hundred five billion, four hundred thirty-one million, one hundred thousand, one".