105234788755 has 16 divisors (see below), whose sum is σ = 130627584000. Its totient is φ = 81301949280.

The previous prime is 105234788749. The next prime is 105234788759. The reversal of 105234788755 is 557887432501.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-105234788755 is a prime.

It is a super-2 number, since 2×105234788755² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105234788696 and 105234788705.

It is not an unprimeable number, because it can be changed into a prime (105234788759) 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, 634455 + ... + 782944.

It is an arithmetic number, because the mean of its divisors is an integer number (8164224000).

Almost surely, 2^105234788755 is an apocalyptic number.

105234788755 is a deficient number, since it is larger than the sum of its proper divisors (25392795245).

105234788755 is a wasteful number, since it uses less digits than its factorization.

105234788755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417914.

The product of its (nonzero) digits is 9408000, while the sum is 55.

The spelling of 105234788755 in words is "one hundred five billion, two hundred thirty-four million, seven hundred eighty-eight thousand, seven hundred fifty-five".