105187350353690 has 32 divisors (see below), whose sum is σ = 213212599902720. Its totient is φ = 37016076369600.

The previous prime is 105187350353669. The next prime is 105187350353719. The reversal of 105187350353690 is 96353053781501.

It is a super-2 number, since 2×105187350353690² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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, 15423361745 + ... + 15423368564.

It is an arithmetic number, because the mean of its divisors is an integer number (6662893746960).

Almost surely, 2^{105187350353690} is an apocalyptic number.

105187350353690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105187350353690 is an abundant number, since it is smaller than the sum of its proper divisors (108025249549030).

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

105187350353690 is a wasteful number, since it uses less digits than its factorization.

105187350353690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30846730358.

The product of its (nonzero) digits is 10206000, while the sum is 56.

The spelling of 105187350353690 in words is "one hundred five trillion, one hundred eighty-seven billion, three hundred fifty million, three hundred fifty-three thousand, six hundred ninety".