10105335130 has 32 divisors (see below), whose sum is σ = 19849484160. Its totient is φ = 3673504320.

The previous prime is 10105335113. The next prime is 10105335133. The reversal of 10105335130 is 3153350101.

10105335130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10105335130² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10105335133) 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 15 ways as a sum of consecutive naturals, for example, 384036 + ... + 409504.

It is an arithmetic number, because the mean of its divisors is an integer number (620296380).

Almost surely, 2^10105335130 is an apocalyptic number.

10105335130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10105335130 is a deficient number, since it is larger than the sum of its proper divisors (9744149030).

10105335130 is a wasteful number, since it uses less digits than its factorization.

10105335130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29094.

The product of its (nonzero) digits is 675, while the sum is 22.

Adding to 10105335130 its reverse (3153350101), we get a palindrome (13258685231).

The spelling of 10105335130 in words is "ten billion, one hundred five million, three hundred thirty-five thousand, one hundred thirty".