102420 has 36 divisors (see below), whose sum is σ = 311220. Its totient is φ = 27264.

The previous prime is 102409. The next prime is 102433. The reversal of 102420 is 24201.

102420 = T₁₅₆ + T₁₅₇ + ... + T₁₆₃.

It can be written as a sum of positive squares in 2 ways, for example, as 26244 + 76176 = 162^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

102420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (8645).

2¹⁰²⁴²⁰ is an apocalyptic number.

102420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102420 is an abundant number, since it is smaller than the sum of its proper divisors (208800).

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

102420 is a wasteful number, since it uses less digits than its factorization.

102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 102420 is about 320.0312484743. The cubic root of 102420 is about 46.7873294649.

Adding to 102420 its reverse (24201), we get a palindrome (126621).

The spelling of 102420 in words is "one hundred two thousand, four hundred twenty", and thus it is an iban number.