10405168130 has 24 divisors (see below), whose sum is σ = 21787148988. Its totient is φ = 3567486048.

The previous prime is 10405168097. The next prime is 10405168133. The reversal of 10405168130 is 3186150401.

It can be written as a sum of positive squares in 2 ways, for example, as 10397676961 + 7491169 = 101969^2 + 2737^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10405168093 and 10405168102.

It is not an unprimeable number, because it can be changed into a prime (10405168133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10617029 + ... + 10618008.

Almost surely, 2^10405168130 is an apocalyptic number.

10405168130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10405168130 is an abundant number, since it is smaller than the sum of its proper divisors (11381980858).

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

10405168130 is a wasteful number, since it uses less digits than its factorization.

10405168130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21235058 (or 21235051 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The spelling of 10405168130 in words is "ten billion, four hundred five million, one hundred sixty-eight thousand, one hundred thirty".