105025104771 has 16 divisors (see below), whose sum is σ = 143310545664. Its totient is φ = 68378665824.

The previous prime is 105025104721. The next prime is 105025104799. The reversal of 105025104771 is 177401520501.

It is not a de Polignac number, because 105025104771 - 2⁶ = 105025104707 is a prime.

It is a super-2 number, since 2×105025104771² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105025104721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 910090 + ... + 1018976.

It is an arithmetic number, because the mean of its divisors is an integer number (8956909104).

Almost surely, 2^105025104771 is an apocalyptic number.

105025104771 is a deficient number, since it is larger than the sum of its proper divisors (38285440893).

105025104771 is a wasteful number, since it uses less digits than its factorization.

105025104771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116410.

The product of its (nonzero) digits is 9800, while the sum is 33.

The spelling of 105025104771 in words is "one hundred five billion, twenty-five million, one hundred four thousand, seven hundred seventy-one".