102875168 has 54 divisors (see below), whose sum is σ = 223995807. Its totient is φ = 46474560.

The previous prime is 102875167. The next prime is 102875203. The reversal of 102875168 is 861578201.

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 can be written as a sum of positive squares in only one way, i.e., 51437584 + 51437584 = 7172^2 + 7172^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7172.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102875167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 631055 + ... + 631217.

Almost surely, 2^102875168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102875168

102875168 is an abundant number, since it is smaller than the sum of its proper divisors (121120639).

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

102875168 is an equidigital number, since it uses as much as digits as its factorization.

102875168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 38.

The square root of 102875168 is about 10142.7396693398. The cubic root of 102875168 is about 468.5653673333.

The spelling of 102875168 in words is "one hundred two million, eight hundred seventy-five thousand, one hundred sixty-eight".