9103840416 has 144 divisors (see below), whose sum is σ = 28276099488. Its totient is φ = 2755468800.

The previous prime is 9103840411. The next prime is 9103840429. The reversal of 9103840416 is 6140483019.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×9103840416³ (a number of 31 digits) contains 333 as substring.

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 (9103840411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4849270 + ... + 4851146.

It is an arithmetic number, because the mean of its divisors is an integer number (196361802).

Almost surely, 2^9103840416 is an apocalyptic number.

9103840416 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 9103840416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14138049744).

9103840416 is an abundant number, since it is smaller than the sum of its proper divisors (19172259072).

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

9103840416 is a wasteful number, since it uses less digits than its factorization.

9103840416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9103840416 is about 95414.0472676849. The cubic root of 9103840416 is about 2088.0531320430.

The spelling of 9103840416 in words is "nine billion, one hundred three million, eight hundred forty thousand, four hundred sixteen".