104997168 has 180 divisors, whose sum is σ = 331572280. Its totient is φ = 31804416.

The previous prime is 104997163. The next prime is 104997169. The reversal of 104997168 is 861799401.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×104997168² = 22048810576040448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104997163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3620578 + ... + 3620606.

Almost surely, 2^104997168 is an apocalyptic number.

104997168 is a gapful number since it is divisible by the number (18) 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 104997168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165786140).

104997168 is an abundant number, since it is smaller than the sum of its proper divisors (226575112).

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

104997168 is a wasteful number, since it uses less digits than its factorization.

104997168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 104997168 is about 10246.8125775775. The cubic root of 104997168 is about 471.7651565620.

The spelling of 104997168 in words is "one hundred four million, nine hundred ninety-seven thousand, one hundred sixty-eight".