105117171200590 has 32 divisors (see below), whose sum is σ = 198322839300096. Its totient is φ = 40038390633120.

The previous prime is 105117171200581. The next prime is 105117171200603. The reversal of 105117171200590 is 95002171711501.

It is a super-2 number, since 2×105117171200590² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1024682296 + ... + 1024784875.

It is an arithmetic number, because the mean of its divisors is an integer number (6197588728128).

Almost surely, 2^{105117171200590} is an apocalyptic number.

105117171200590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105117171200590 is a deficient number, since it is larger than the sum of its proper divisors (93205668099506).

105117171200590 is a wasteful number, since it uses less digits than its factorization.

105117171200590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049467424.

The product of its (nonzero) digits is 22050, while the sum is 40.

The spelling of 105117171200590 in words is "one hundred five trillion, one hundred seventeen billion, one hundred seventy-one million, two hundred thousand, five hundred ninety".