105173297775 has 864 divisors, whose sum is σ = 277350248448. Its totient is φ = 38295244800.

The previous prime is 105173297729. The next prime is 105173297777. The reversal of 105173297775 is 577792371501.

105173297775 is a `hidden beast` number, since 1 + 0 + 517 + 32 + 97 + 7 + 7 + 5 = 666.

It is not a de Polignac number, because 105173297775 - 2¹⁰ = 105173296751 is a prime.

It is a super-2 number, since 2×105173297775² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105173297777) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 3392687010 + ... + 3392687040.

It is an arithmetic number, because the mean of its divisors is an integer number (321007232).

Almost surely, 2^105173297775 is an apocalyptic number.

105173297775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105173297775 is an abundant number, since it is smaller than the sum of its proper divisors (172176950673).

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

105173297775 is a wasteful number, since it uses less digits than its factorization.

105173297775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3241350, while the sum is 54.

The spelling of 105173297775 in words is "one hundred five billion, one hundred seventy-three million, two hundred ninety-seven thousand, seven hundred seventy-five".