105600465153 has 32 divisors (see below), whose sum is σ = 160128777600. Its totient is φ = 68743600128.

The previous prime is 105600465143. The next prime is 105600465167. The reversal of 105600465153 is 351564006501.

105600465153 is a `hidden beast` number, since 1 + 0 + 5 + 600 + 46 + 5 + 1 + 5 + 3 = 666.

It is not a de Polignac number, because 105600465153 - 2⁸ = 105600464897 is a prime.

It is a super-2 number, since 2×105600465153² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105600465143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4885153 + ... + 4906721.

It is an arithmetic number, because the mean of its divisors is an integer number (5004024300).

Almost surely, 2^105600465153 is an apocalyptic number.

It is an amenable number.

105600465153 is a deficient number, since it is larger than the sum of its proper divisors (54528312447).

105600465153 is a wasteful number, since it uses less digits than its factorization.

105600465153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25838 (or 25832 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 105600465153 in words is "one hundred five billion, six hundred million, four hundred sixty-five thousand, one hundred fifty-three".