102520 has 32 divisors (see below), whose sum is σ = 252720. Its totient is φ = 37120.

The previous prime is 102503. The next prime is 102523. The reversal of 102520 is 25201.

102520 = T₂₀₀ + T₂₀₁ + ... + T₂₀₄.

102520 is nontrivially palindromic in base 9 and base 12.

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 = 102497 and 102506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102523) 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 7 ways as a sum of consecutive naturals, for example, 324 + ... + 556.

2¹⁰²⁵²⁰ is an apocalyptic number.

102520 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 102520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126360).

102520 is an abundant number, since it is smaller than the sum of its proper divisors (150200).

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

102520 is a wasteful number, since it uses less digits than its factorization.

102520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 102520 is about 320.1874451005. The cubic root of 102520 is about 46.8025517882.

Adding to 102520 its reverse (25201), we get a palindrome (127721).

It can be divided in two parts, 10 and 2520, that multiplied together give a triangular number (25200 = T₂₂₄).

The spelling of 102520 in words is "one hundred two thousand, five hundred twenty".