105254504429 has 16 divisors (see below), whose sum is σ = 111848242176. Its totient is φ = 98705760000.

The previous prime is 105254504393. The next prime is 105254504441. The reversal of 105254504429 is 924405452501.

It is a cyclic number.

It is not a de Polignac number, because 105254504429 - 2²⁸ = 104986068973 is a prime.

It is a super-2 number, since 2×105254504429² (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 (105254504449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22151804 + ... + 22156554.

It is an arithmetic number, because the mean of its divisors is an integer number (6990515136).

Almost surely, 2^105254504429 is an apocalyptic number.

It is an amenable number.

105254504429 is a deficient number, since it is larger than the sum of its proper divisors (6593737747).

105254504429 is a wasteful number, since it uses less digits than its factorization.

105254504429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9196.

The product of its (nonzero) digits is 288000, while the sum is 41.

The spelling of 105254504429 in words is "one hundred five billion, two hundred fifty-four million, five hundred four thousand, four hundred twenty-nine".