9106053264 has 320 divisors, whose sum is σ = 34506362880. Its totient is φ = 2225940480.

The previous prime is 9106053217. The next prime is 9106053317. The reversal of 9106053264 is 4623506019.

It is a happy number.

9106053264 is a `hidden beast` number, since 9 + 1 + 0 + 60 + 532 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 557437 + ... + 573539.

It is an arithmetic number, because the mean of its divisors is an integer number (107832384).

Almost surely, 2^9106053264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9106053264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17253181440).

9106053264 is an abundant number, since it is smaller than the sum of its proper divisors (25400309616).

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

9106053264 is a wasteful number, since it uses less digits than its factorization.

9106053264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16155 (or 16143 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 9106053264 is about 95425.6425914963. The cubic root of 9106053264 is about 2088.2222976430. Note that the first 4 decimals are identical.

The spelling of 9106053264 in words is "nine billion, one hundred six million, fifty-three thousand, two hundred sixty-four".