105402316511 has 8 divisors (see below), whose sum is σ = 105915623424. Its totient is φ = 104890128120.

The previous prime is 105402316507. The next prime is 105402316561. The reversal of 105402316511 is 115613204501.

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 105402316511 - 2² = 105402316507 is a prime.

It is a super-2 number, since 2×105402316511² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105402316561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90395 + ... + 467948.

It is an arithmetic number, because the mean of its divisors is an integer number (13239452928).

Almost surely, 2^105402316511 is an apocalyptic number.

105402316511 is a deficient number, since it is larger than the sum of its proper divisors (513306913).

105402316511 is an equidigital number, since it uses as much as digits as its factorization.

105402316511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559261.

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 105402316511 in words is "one hundred five billion, four hundred two million, three hundred sixteen thousand, five hundred eleven".