10097117184 has 288 divisors, whose sum is σ = 34171956000. Its totient is φ = 2621767680.

The previous prime is 10097117179. The next prime is 10097117201. The reversal of 10097117184 is 48171179001.

It is a happy number.

It is a super-3 number, since 3×10097117184³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

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, 3310092 + ... + 3313140.

It is an arithmetic number, because the mean of its divisors is an integer number (118652625).

Almost surely, 2^10097117184 is an apocalyptic number.

10097117184 is a gapful number since it is divisible by the number (14) 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 10097117184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17085978000).

10097117184 is an abundant number, since it is smaller than the sum of its proper divisors (24074838816).

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

10097117184 is a wasteful number, since it uses less digits than its factorization.

10097117184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 39.

The spelling of 10097117184 in words is "ten billion, ninety-seven million, one hundred seventeen thousand, one hundred eighty-four".