105350350010 has 64 divisors (see below), whose sum is σ = 197444459520. Its totient is φ = 40423488000.

The previous prime is 105350350003. The next prime is 105350350067. The reversal of 105350350010 is 10053053501.

It is a super-2 number, since 2×105350350010² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33263447 + ... + 33266613.

It is an arithmetic number, because the mean of its divisors is an integer number (3085069680).

Almost surely, 2^105350350010 is an apocalyptic number.

105350350010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105350350010 is a deficient number, since it is larger than the sum of its proper divisors (92094109510).

105350350010 is a wasteful number, since it uses less digits than its factorization.

105350350010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911.

The product of its (nonzero) digits is 1125, while the sum is 23.

The spelling of 105350350010 in words is "one hundred five billion, three hundred fifty million, three hundred fifty thousand, ten".