105217331070300 has 72 divisors (see below), whose sum is σ = 304431754881072. Its totient is φ = 28057683648000.

The previous prime is 105217331070289. The next prime is 105217331070403. The reversal of 105217331070300 is 3070133712501.

It is a super-2 number, since 2×105217331070300² (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 23 ways as a sum of consecutive naturals, for example, 30392040 + ... + 33676560.

Almost surely, 2^{105217331070300} is an apocalyptic number.

105217331070300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105217331070300 is an abundant number, since it is smaller than the sum of its proper divisors (199214423810772).

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

105217331070300 is a wasteful number, since it uses less digits than its factorization.

105217331070300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391319 (or 3391312 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

Adding to 105217331070300 its reverse (3070133712501), we get a palindrome (108287464782801).

The spelling of 105217331070300 in words is "one hundred five trillion, two hundred seventeen billion, three hundred thirty-one million, seventy thousand, three hundred".