9919100160 has 288 divisors, whose sum is σ = 37271767680. Its totient is φ = 2489352192.

The previous prime is 9919100131. The next prime is 9919100179. The reversal of 9919100160 is 610019199.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×9919100160² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579079 + ... + 595961.

It is an arithmetic number, because the mean of its divisors is an integer number (129415860).

Almost surely, 2^9919100160 is an apocalyptic number.

9919100160 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 9919100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18635883840).

9919100160 is an abundant number, since it is smaller than the sum of its proper divisors (27352667520).

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

9919100160 is a wasteful number, since it uses less digits than its factorization.

9919100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16930 (or 16910 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 36.

The square root of 9919100160 is about 99594.6793759586. The cubic root of 9919100160 is about 2148.6091715006.

The spelling of 9919100160 in words is "nine billion, nine hundred nineteen million, one hundred thousand, one hundred sixty".