105034416513 has 32 divisors (see below), whose sum is σ = 159718511232. Its totient is φ = 60823680000.

The previous prime is 105034416497. The next prime is 105034416523. The reversal of 105034416513 is 315614430501.

It is a happy number.

It is not a de Polignac number, because 105034416513 - 2⁴ = 105034416497 is a prime.

It is a super-2 number, since 2×105034416513² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105034416523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5228338 + ... + 5248388.

It is an arithmetic number, because the mean of its divisors is an integer number (4991203476).

Almost surely, 2^105034416513 is an apocalyptic number.

105034416513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105034416513 is a deficient number, since it is larger than the sum of its proper divisors (54684094719).

105034416513 is a wasteful number, since it uses less digits than its factorization.

105034416513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27985.

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 105034416513 in words is "one hundred five billion, thirty-four million, four hundred sixteen thousand, five hundred thirteen".