102120 has 64 divisors (see below), whose sum is σ = 328320. Its totient is φ = 25344.

The previous prime is 102107. The next prime is 102121. The reversal of 102120 is 21201.

102120 = T₁₁ + T₁₂ + ... + T₈₄.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 102099 and 102108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2742 + ... + 2778.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2¹⁰²¹²⁰ is an apocalyptic number.

102120 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 102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164160).

102120 is an abundant number, since it is smaller than the sum of its proper divisors (226200).

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

102120 is a wasteful number, since it uses less digits than its factorization.

102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 102120 is about 319.5622005181. The cubic root of 102120 is about 46.7416029606.

Adding to 102120 its reverse (21201), we get a palindrome (123321).

It can be divided in two parts, 102 and 120, that added together give a palindrome (222).

The spelling of 102120 in words is "one hundred two thousand, one hundred twenty", and thus it is an iban number.