105065725608 has 48 divisors (see below), whose sum is σ = 299529484800. Its totient is φ = 33178649760.

The previous prime is 105065725607. The next prime is 105065725657. The reversal of 105065725608 is 806527560501.

105065725608 is a `hidden beast` number, since 10 + 5 + 0 + 6 + 5 + 7 + 25 + 608 = 666.

It is a super-2 number, since 2×105065725608² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105065725607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38399848 + ... + 38402583.

It is an arithmetic number, because the mean of its divisors is an integer number (6240197600).

Almost surely, 2^105065725608 is an apocalyptic number.

105065725608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105065725608 is an abundant number, since it is smaller than the sum of its proper divisors (194463759192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105065725608 is a wasteful number, since it uses less digits than its factorization.

105065725608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76802462 (or 76802455 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 105065725608 in words is "one hundred five billion, sixty-five million, seven hundred twenty-five thousand, six hundred eight".