105350554010 has 64 divisors (see below), whose sum is σ = 215491933440. Its totient is φ = 36789265920.

The previous prime is 105350553947. The next prime is 105350554063. The reversal of 105350554010 is 10455053501.

It is a super-2 number, since 2×105350554010² (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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68165 + ... + 464055.

It is an arithmetic number, because the mean of its divisors is an integer number (3367061460).

Almost surely, 2^105350554010 is an apocalyptic number.

105350554010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105350554010 is an abundant number, since it is smaller than the sum of its proper divisors (110141379430).

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

105350554010 is a wasteful number, since it uses less digits than its factorization.

105350554010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396023.

The product of its (nonzero) digits is 7500, while the sum is 29.

The spelling of 105350554010 in words is "one hundred five billion, three hundred fifty million, five hundred fifty-four thousand, ten".