102266280 has 192 divisors, whose sum is σ = 358344000. Its totient is φ = 25939584.

The previous prime is 102266279. The next prime is 102266287. The reversal of 102266280 is 82662201.

102266280 is a `hidden beast` number, since 10 + 2 + 26 + 628 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102266287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571231 + ... + 571409.

It is an arithmetic number, because the mean of its divisors is an integer number (1866375).

Almost surely, 2^102266280 is an apocalyptic number.

102266280 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 102266280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179172000).

102266280 is an abundant number, since it is smaller than the sum of its proper divisors (256077720).

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

102266280 is a wasteful number, since it uses less digits than its factorization.

102266280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 102266280 is about 10112.6791702298. The cubic root of 102266280 is about 467.6391037534.

The spelling of 102266280 in words is "one hundred two million, two hundred sixty-six thousand, two hundred eighty".