102868144 has 40 divisors (see below), whose sum is σ = 208772352. Its totient is φ = 49008960.

The previous prime is 102868141. The next prime is 102868151. The reversal of 102868144 is 441868201.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (102868141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162709 + ... + 163339.

Almost surely, 2^102868144 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 102868144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104386176).

102868144 is an abundant number, since it is smaller than the sum of its proper divisors (105904208).

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

102868144 is a wasteful number, since it uses less digits than its factorization.

102868144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 102868144 is about 10142.3934058978. The cubic root of 102868144 is about 468.5547030233.

The spelling of 102868144 in words is "one hundred two million, eight hundred sixty-eight thousand, one hundred forty-four".