105171017253 has 8 divisors (see below), whose sum is σ = 141156686016. Its totient is φ = 69649680000.

The previous prime is 105171017251. The next prime is 105171017261. The reversal of 105171017253 is 352710171501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105171017253 - 2¹ = 105171017251 is a prime.

It is a super-2 number, since 2×105171017253² (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 (105171017251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116082348 + ... + 116083253.

It is an arithmetic number, because the mean of its divisors is an integer number (17644585752).

Almost surely, 2^105171017253 is an apocalyptic number.

It is an amenable number.

105171017253 is a deficient number, since it is larger than the sum of its proper divisors (35985668763).

105171017253 is a wasteful number, since it uses less digits than its factorization.

105171017253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232165755.

The product of its (nonzero) digits is 7350, while the sum is 33.

Adding to 105171017253 its reverse (352710171501), we get a palindrome (457881188754).

The spelling of 105171017253 in words is "one hundred five billion, one hundred seventy-one million, seventeen thousand, two hundred fifty-three".