105134514435 has 64 divisors (see below), whose sum is σ = 195171379200. Its totient is φ = 53595552384.

The previous prime is 105134514413. The next prime is 105134514467. The reversal of 105134514435 is 534415431501.

105134514435 is a `hidden beast` number, since 1 + 0 + 5 + 134 + 514 + 4 + 3 + 5 = 666.

It is not a de Polignac number, because 105134514435 - 2²⁰ = 105133465859 is a prime.

It is a super-2 number, since 2×105134514435² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105134514435.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4624426 + ... + 4647104.

It is an arithmetic number, because the mean of its divisors is an integer number (3049552800).

Almost surely, 2^105134514435 is an apocalyptic number.

105134514435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105134514435 is a deficient number, since it is larger than the sum of its proper divisors (90036864765).

105134514435 is a wasteful number, since it uses less digits than its factorization.

105134514435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24209 (or 24203 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 105134514435 its reverse (534415431501), we get a palindrome (639549945936).

The spelling of 105134514435 in words is "one hundred five billion, one hundred thirty-four million, five hundred fourteen thousand, four hundred thirty-five".