100520 has 32 divisors (see below), whose sum is σ = 259200. Its totient is φ = 34368.

The previous prime is 100519. The next prime is 100523. The reversal of 100520 is 25001.

100520 = T₁₀₄ + T₁₀₅ + ... + T₁₁₉.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100498 and 100507.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100520.

It is not an unprimeable number, because it can be changed into a prime (100523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2¹⁰⁰⁵²⁰ is an apocalyptic number.

100520 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 100520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600).

100520 is an abundant number, since it is smaller than the sum of its proper divisors (158680).

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

100520 is a wasteful number, since it uses less digits than its factorization.

100520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 100520 is about 317.0488921286. The cubic root of 100520 is about 46.4962034901.

Adding to 100520 its reverse (25001), we get a palindrome (125521).

It can be divided in two parts, 1005 and 20, that multiplied together give a triangular number (20100 = T₂₀₀).

The spelling of 100520 in words is "one hundred thousand, five hundred twenty".