102300220 has 72 divisors (see below), whose sum is σ = 249112080. Its totient is φ = 34990080.

The previous prime is 102300193. The next prime is 102300221. The reversal of 102300220 is 22003201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102300197 and 102300206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102300221) 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, 62776 + ... + 64384.

It is an arithmetic number, because the mean of its divisors is an integer number (3459890).

Almost surely, 2^102300220 is an apocalyptic number.

102300220 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 102300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124556040).

102300220 is an abundant number, since it is smaller than the sum of its proper divisors (146811860).

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

102300220 is a wasteful number, since it uses less digits than its factorization.

102300220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 102300220 is about 10114.3571224275. The cubic root of 102300220 is about 467.6908311840.

Adding to 102300220 its reverse (22003201), we get a palindrome (124303421).

The spelling of 102300220 in words is "one hundred two million, three hundred thousand, two hundred twenty".