102020 has 12 divisors (see below), whose sum is σ = 214284. Its totient is φ = 40800.

The previous prime is 102019. The next prime is 102023. The reversal of 102020 is 20201.

It can be written as a sum of positive squares in 2 ways, for example, as 10816 + 91204 = 104^2 + 302^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 101995 and 102013.

It is not an unprimeable number, because it can be changed into a prime (102023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2531 + ... + 2570.

It is an arithmetic number, because the mean of its divisors is an integer number (17857).

2¹⁰²⁰²⁰ is an apocalyptic number.

102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020 is an abundant number, since it is smaller than the sum of its proper divisors (112264).

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

102020 is a wasteful number, since it uses less digits than its factorization.

102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 102020 is about 319.4056981333. The cubic root of 102020 is about 46.7263408936.

Adding to 102020 its reverse (20201), we get a palindrome (122221).

The spelling of 102020 in words is "one hundred two thousand, twenty", and thus it is an iban number.