105075854851517 has 32 divisors (see below), whose sum is σ = 116708580172800. Its totient is φ = 93801370924800.

The previous prime is 105075854851507. The next prime is 105075854851529. The reversal of 105075854851517 is 715158458570501.

It is not a de Polignac number, because 105075854851517 - 2⁶ = 105075854851453 is a prime.

It is a super-2 number, since 2×105075854851517² (a number of 29 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 105075854851517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105075854851507) 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, 202301573 + ... + 202820309.

It is an arithmetic number, because the mean of its divisors is an integer number (3647143130400).

Almost surely, 2^{105075854851517} is an apocalyptic number.

It is an amenable number.

105075854851517 is a deficient number, since it is larger than the sum of its proper divisors (11632725321283).

105075854851517 is a wasteful number, since it uses less digits than its factorization.

105075854851517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519857.

The product of its (nonzero) digits is 39200000, while the sum is 62.

The spelling of 105075854851517 in words is "one hundred five trillion, seventy-five billion, eight hundred fifty-four million, eight hundred fifty-one thousand, five hundred seventeen".