105065725653 has 48 divisors (see below), whose sum is σ = 182100746880. Its totient is φ = 57102046848.

The previous prime is 105065725607. The next prime is 105065725657. The reversal of 105065725653 is 356527560501.

105065725653 is a `hidden beast` number, since 10 + 5 + 0 + 6 + 5 + 72 + 565 + 3 = 666.

It is not a de Polignac number, because 105065725653 - 2¹² = 105065721557 is a prime.

It is a super-2 number, since 2×105065725653² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105065725599 and 105065725608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105065725657) 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 47 ways as a sum of consecutive naturals, for example, 306750 + ... + 551567.

It is an arithmetic number, because the mean of its divisors is an integer number (3793765560).

Almost surely, 2^105065725653 is an apocalyptic number.

It is an amenable number.

105065725653 is a deficient number, since it is larger than the sum of its proper divisors (77035021227).

105065725653 is a wasteful number, since it uses less digits than its factorization.

105065725653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858426 (or 858423 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 105065725653 in words is "one hundred five billion, sixty-five million, seven hundred twenty-five thousand, six hundred fifty-three".