104889168 has 50 divisors (see below), whose sum is σ = 303583434. Its totient is φ = 34962624.

The previous prime is 104889157. The next prime is 104889179. The reversal of 104889168 is 861988401.

104889168 is a `hidden beast` number, since 1 + 0 + 488 + 9 + 168 = 666.

It is an interprime number because it is at equal distance from previous prime (104889157) and next prime (104889179).

It can be written as a sum of positive squares in only one way, i.e., 85599504 + 19289664 = 9252^2 + 4392^2 .

It is a super-2 number, since 2×104889168² = 22003475127464448, which contains 22 as substring.

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 9 ways as a sum of consecutive naturals, for example, 39171 + ... + 41762.

Almost surely, 2^104889168 is an apocalyptic number.

104889168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104889168 is an abundant number, since it is smaller than the sum of its proper divisors (198694266).

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

104889168 is an equidigital number, since it uses as much as digits as its factorization.

104889168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80953 (or 80938 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 104889168 is about 10241.5412902551. The cubic root of 104889168 is about 471.6033486544.

The spelling of 104889168 in words is "one hundred four million, eight hundred eighty-nine thousand, one hundred sixty-eight".