9105284160 has 672 divisors, whose sum is σ = 38001000960. Its totient is φ = 1956151296.

The previous prime is 9105284159. The next prime is 9105284161. The reversal of 9105284160 is 614825019.

9105284160 is a `hidden beast` number, since 91 + 0 + 528 + 41 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9105284159) and next prime (9105284161).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9105284161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33848506 + ... + 33848774.

Almost surely, 2^9105284160 is an apocalyptic number.

9105284160 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 9105284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19000500480).

9105284160 is an abundant number, since it is smaller than the sum of its proper divisors (28895716800).

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

9105284160 is a wasteful number, since it uses less digits than its factorization.

9105284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 9105284160 is about 95421.6126461925. The cubic root of 9105284160 is about 2088.1635050540.

The spelling of 9105284160 in words is "nine billion, one hundred five million, two hundred eighty-four thousand, one hundred sixty".