102662820 has 144 divisors (see below), whose sum is σ = 340524912. Its totient is φ = 24883200.

The previous prime is 102662809. The next prime is 102662821. The reversal of 102662820 is 28266201.

102662820 is a `hidden beast` number, since 10 + 2 + 6 + 628 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 207936 + 102454884 = 456^2 + 10122^2 .

It is a super-3 number, since 3×102662820³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102662821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170520 + ... + 171120.

Almost surely, 2^102662820 is an apocalyptic number.

102662820 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 102662820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170262456).

102662820 is an abundant number, since it is smaller than the sum of its proper divisors (237862092).

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

102662820 is a wasteful number, since it uses less digits than its factorization.

102662820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 697 counting only the distinct ones).

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

The square root of 102662820 is about 10132.2662815384. The cubic root of 102662820 is about 468.2427515559.

The spelling of 102662820 in words is "one hundred two million, six hundred sixty-two thousand, eight hundred twenty".