105461434014 has 16 divisors (see below), whose sum is σ = 213011214480. Its totient is φ = 34805753600.

The previous prime is 105461434007. The next prime is 105461434121. The reversal of 105461434014 is 410434164501.

105461434014 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105461434014² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87013779 + ... + 87014990.

It is an arithmetic number, because the mean of its divisors is an integer number (13313200905).

Almost surely, 2^105461434014 is an apocalyptic number.

105461434014 is an abundant number, since it is smaller than the sum of its proper divisors (107549780466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105461434014 is a wasteful number, since it uses less digits than its factorization.

105461434014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174028875.

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 105461434014 its reverse (410434164501), we get a palindrome (515895598515).

The spelling of 105461434014 in words is "one hundred five billion, four hundred sixty-one million, four hundred thirty-four thousand, fourteen".