9105976152 has 576 divisors, whose sum is σ = 33808068000. Its totient is φ = 2250436608.

The previous prime is 9105976147. The next prime is 9105976199. The reversal of 9105976152 is 2516795019.

9105976152 is a `hidden beast` number, since 9 + 1 + 0 + 597 + 6 + 1 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9105976098 and 9105976107.

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, 39763974 + ... + 39764202.

Almost surely, 2^9105976152 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 9105976152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16904034000).

9105976152 is an abundant number, since it is smaller than the sum of its proper divisors (24702091848).

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

9105976152 is a wasteful number, since it uses less digits than its factorization.

9105976152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The square root of 9105976152 is about 95425.2385483002. The cubic root of 9105976152 is about 2088.2164031225.

The spelling of 9105976152 in words is "nine billion, one hundred five million, nine hundred seventy-six thousand, one hundred fifty-two".