105431988288063 has 8 divisors (see below), whose sum is σ = 140576039146800. Its totient is φ = 70287964810688.

The previous prime is 105431988288019. The next prime is 105431988288079. The reversal of 105431988288063 is 360882889134501.

It is a Cunningham number, because it is equal to 10268008²-1.

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 105431988288063 - 2⁸ = 105431988287807 is a prime.

It is a super-2 number, since 2×105431988288063² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105431988287985 and 105431988288003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105431988288013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5134003 + ... + 15402011.

It is an arithmetic number, because the mean of its divisors is an integer number (17572004893350).

Almost surely, 2^{105431988288063} is an apocalyptic number.

105431988288063 is a deficient number, since it is larger than the sum of its proper divisors (35144050858737).

105431988288063 is a wasteful number, since it uses less digits than its factorization.

105431988288063 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13690681.

The product of its (nonzero) digits is 79626240, while the sum is 66.

The spelling of 105431988288063 in words is "one hundred five trillion, four hundred thirty-one billion, nine hundred eighty-eight million, two hundred eighty-eight thousand, sixty-three".