105125905071 has 24 divisors (see below), whose sum is σ = 165670078080. Its totient is φ = 63706078800.

The previous prime is 105125905069. The next prime is 105125905091. The reversal of 105125905071 is 170509521501.

105125905071 is a `hidden beast` number, since 1 + 0 + 5 + 12 + 590 + 50 + 7 + 1 = 666.

It is not a de Polignac number, because 105125905071 - 2¹ = 105125905069 is a prime.

It is a super-2 number, since 2×105125905071² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105125905051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1010820 + ... + 1109958.

It is an arithmetic number, because the mean of its divisors is an integer number (6902919920).

Almost surely, 2^105125905071 is an apocalyptic number.

105125905071 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105125905071 is a deficient number, since it is larger than the sum of its proper divisors (60544173009).

105125905071 is a wasteful number, since it uses less digits than its factorization.

105125905071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109867 (or 109864 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 36.

The spelling of 105125905071 in words is "one hundred five billion, one hundred twenty-five million, nine hundred five thousand, seventy-one".