9130106496 has 576 divisors, whose sum is σ = 31699788480. Its totient is φ = 2316238848.

The previous prime is 9130106477. The next prime is 9130106501. The reversal of 9130106496 is 6946010319.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125069916 + ... + 125069988.

It is an arithmetic number, because the mean of its divisors is an integer number (55034355).

Almost surely, 2^9130106496 is an apocalyptic number.

9130106496 is a gapful number since it is divisible by the number (96) 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 9130106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15849894240).

9130106496 is an abundant number, since it is smaller than the sum of its proper divisors (22569681984).

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

9130106496 is a wasteful number, since it uses less digits than its factorization.

9130106496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 9130106496 is about 95551.5907559890. The cubic root of 9130106496 is about 2090.0593296803.

The spelling of 9130106496 in words is "nine billion, one hundred thirty million, one hundred six thousand, four hundred ninety-six".