10105334700 has 72 divisors (see below), whose sum is σ = 29347027920. Its totient is φ = 2684716800.

The previous prime is 10105334683. The next prime is 10105334713. The reversal of 10105334700 is 743350101.

10105334700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 18090 + ... + 143310.

It is an arithmetic number, because the mean of its divisors is an integer number (407597610).

Almost surely, 2^10105334700 is an apocalyptic number.

10105334700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10105334700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14673513960).

10105334700 is an abundant number, since it is smaller than the sum of its proper divisors (19241693220).

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

10105334700 is a wasteful number, since it uses less digits than its factorization.

10105334700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125507 (or 125500 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

Adding to 10105334700 its reverse (743350101), we get a palindrome (10848684801).

The spelling of 10105334700 in words is "ten billion, one hundred five million, three hundred thirty-four thousand, seven hundred".