102276288 has 84 divisors (see below), whose sum is σ = 301142400. Its totient is φ = 33163776.

The previous prime is 102276287. The next prime is 102276299. The reversal of 102276288 is 882672201.

It is a happy number.

102276288 is a `hidden beast` number, since 1 + 0 + 2 + 27 + 628 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102276283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18913 + ... + 23711.

Almost surely, 2^102276288 is an apocalyptic number.

102276288 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 102276288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150571200).

102276288 is an abundant number, since it is smaller than the sum of its proper divisors (198866112).

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

102276288 is a wasteful number, since it uses less digits than its factorization.

102276288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4854 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 102276288 is about 10113.1739824844. The cubic root of 102276288 is about 467.6543579815.

The spelling of 102276288 in words is "one hundred two million, two hundred seventy-six thousand, two hundred eighty-eight".