105075035468 has 72 divisors (see below), whose sum is σ = 205356146688. Its totient is φ = 46993722048.

The previous prime is 105075035449. The next prime is 105075035477. The reversal of 105075035468 is 864530570501.

105075035468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105075035468² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3677405 + ... + 3705867.

It is an arithmetic number, because the mean of its divisors is an integer number (2852168704).

Almost surely, 2^105075035468 is an apocalyptic number.

It is an amenable number.

105075035468 is a deficient number, since it is larger than the sum of its proper divisors (100281111220).

105075035468 is a wasteful number, since it uses less digits than its factorization.

105075035468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28663 (or 28648 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 44.

The spelling of 105075035468 in words is "one hundred five billion, seventy-five million, thirty-five thousand, four hundred sixty-eight".