102888000 has 168 divisors, whose sum is σ = 368305080. Its totient is φ = 27417600.

The previous prime is 102887989. The next prime is 102888001. The reversal of 102888000 is 888201.

It can be written as a sum of positive squares in 4 ways, for example, as 21455424 + 81432576 = 4632^2 + 9024^2 .

It is not an unprimeable number, because it can be changed into a prime (102888001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71286 + ... + 72714.

Almost surely, 2^102888000 is an apocalyptic number.

102888000 is a gapful number since it is divisible by the number (10) 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 102888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184152540).

102888000 is an abundant number, since it is smaller than the sum of its proper divisors (265417080).

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

102888000 is a wasteful number, since it uses less digits than its factorization.

102888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 102888000 is about 10143.3722203220. The cubic root of 102888000 is about 468.5848484868.

The spelling of 102888000 in words is "one hundred two million, eight hundred eighty-eight thousand".