10105505010 has 48 divisors (see below), whose sum is σ = 27180330840. Its totient is φ = 2601876480.

The previous prime is 10105504993. The next prime is 10105505017. The reversal of 10105505010 is 1050550101.

10105505010 is a `hidden beast` number, since 10 + 105 + 50 + 501 + 0 = 666.

10105505010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9594790209 + 510714801 = 97953^2 + 22599^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10105505017) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1933311 + ... + 1938530.

Almost surely, 2^10105505010 is an apocalyptic number.

10105505010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10105505010 is an abundant number, since it is smaller than the sum of its proper divisors (17074825830).

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

10105505010 is a wasteful number, since it uses less digits than its factorization.

10105505010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871883 (or 3871880 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 10105505010 in words is "ten billion, one hundred five million, five hundred five thousand, ten".