102820212 has 192 divisors, whose sum is σ = 313528320. Its totient is φ = 28828800.

The previous prime is 102820177. The next prime is 102820213. The reversal of 102820212 is 212028201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102820213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1448137 + ... + 1448207.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 2^102820212 is an apocalyptic number.

102820212 is a gapful number since it is divisible by the number (12) 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 102820212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

102820212 is an abundant number, since it is smaller than the sum of its proper divisors (210708108).

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

102820212 is a wasteful number, since it uses less digits than its factorization.

102820212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 102820212 is about 10140.0301774699. The cubic root of 102820212 is about 468.4819164692.

Adding to 102820212 its reverse (212028201), we get a palindrome (314848413).

The spelling of 102820212 in words is "one hundred two million, eight hundred twenty thousand, two hundred twelve".