10105130340 has 72 divisors (see below), whose sum is σ = 30694110720. Its totient is φ = 2691019584.

The previous prime is 10105130267. The next prime is 10105130341. The reversal of 10105130340 is 4303150101.

It is a super-2 number, since 2×10105130340² (a number of 21 digits) contains 22 as substring.

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 (10105130341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95037 + ... + 171003.

Almost surely, 2^10105130340 is an apocalyptic number.

10105130340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105130340 is an abundant number, since it is smaller than the sum of its proper divisors (20588980380).

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

10105130340 is a wasteful number, since it uses less digits than its factorization.

10105130340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76721 (or 76716 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10105130340 its reverse (4303150101), we get a palindrome (14408280441).

The spelling of 10105130340 in words is "ten billion, one hundred five million, one hundred thirty thousand, three hundred forty".