105073853904 has 60 divisors (see below), whose sum is σ = 294122618400. Its totient is φ = 35017261632.

The previous prime is 105073853851. The next prime is 105073853909. The reversal of 105073853904 is 409358370501.

105073853904 is a `hidden beast` number, since 1 + 0 + 507 + 3 + 8 + 53 + 90 + 4 = 666.

It is a super-2 number, since 2×105073853904² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105073853904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105073853909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 634167 + ... + 782505.

It is an arithmetic number, because the mean of its divisors is an integer number (4902043640).

Almost surely, 2^105073853904 is an apocalyptic number.

It is an amenable number.

105073853904 is an abundant number, since it is smaller than the sum of its proper divisors (189048764496).

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

105073853904 is a wasteful number, since it uses less digits than its factorization.

105073853904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153272 (or 153263 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 105073853904 in words is "one hundred five billion, seventy-three million, eight hundred fifty-three thousand, nine hundred four".