130105920 has 224 divisors, whose sum is σ = 497433600. Its totient is φ = 28145664.

The previous prime is 130105909. The next prime is 130105931. The reversal of 130105920 is 29501031.

It is an interprime number because it is at equal distance from previous prime (130105909) and next prime (130105931).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127171 + ... + 128189.

Almost surely, 2^130105920 is an apocalyptic number.

130105920 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 130105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248716800).

130105920 is an abundant number, since it is smaller than the sum of its proper divisors (367327680).

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

130105920 is a wasteful number, since it uses less digits than its factorization.

130105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 130105920 is about 11406.3982045166. The cubic root of 130105920 is about 506.7172464125.

Adding to 130105920 its reverse (29501031), we get a palindrome (159606951).

The spelling of 130105920 in words is "one hundred thirty million, one hundred five thousand, nine hundred twenty".