9105801120 has 864 divisors, whose sum is σ = 37294193664. Its totient is φ = 2012774400.

The previous prime is 9105801113. The next prime is 9105801163. The reversal of 9105801120 is 211085019.

It is a super-2 number, since 2×9105801120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 128250685 + ... + 128250755.

It is an arithmetic number, because the mean of its divisors is an integer number (43164576).

Almost surely, 2^9105801120 is an apocalyptic number.

9105801120 is a gapful number since it is divisible by the number (90) 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 9105801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18647096832).

9105801120 is an abundant number, since it is smaller than the sum of its proper divisors (28188392544).

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

9105801120 is a wasteful number, since it uses less digits than its factorization.

9105801120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 9105801120 is about 95424.3214280301. The cubic root of 9105801120 is about 2088.2030233732.

Adding to 9105801120 its reverse (211085019), we get a palindrome (9316886139).

The spelling of 9105801120 in words is "nine billion, one hundred five million, eight hundred one thousand, one hundred twenty".