105416916011 has 16 divisors (see below), whose sum is σ = 115188248448. Its totient is φ = 95677060800.

The previous prime is 105416915993. The next prime is 105416916091. The reversal of 105416916011 is 110619614501.

It is a cyclic number.

It is not a de Polignac number, because 105416916011 - 2¹⁰ = 105416914987 is a prime.

It is a super-2 number, since 2×105416916011² (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 (105416916091) 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 15 ways as a sum of consecutive naturals, for example, 24995975 + ... + 25000191.

It is an arithmetic number, because the mean of its divisors is an integer number (7199265528).

Almost surely, 2^105416916011 is an apocalyptic number.

105416916011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105416916011 is a deficient number, since it is larger than the sum of its proper divisors (9771332437).

105416916011 is a wasteful number, since it uses less digits than its factorization.

105416916011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7402.

The product of its (nonzero) digits is 6480, while the sum is 35.

The spelling of 105416916011 in words is "one hundred five billion, four hundred sixteen million, nine hundred sixteen thousand, eleven".