101520 has 80 divisors (see below), whose sum is σ = 357120. Its totient is φ = 26496.

The previous prime is 101513. The next prime is 101527. The reversal of 101520 is 25101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101513) and next prime (101527).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101520.

It is not an unprimeable number, because it can be changed into a prime (101527) by changing a digit.

101520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2137 + ... + 2183.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

2¹⁰¹⁵²⁰ is an apocalyptic number.

101520 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 101520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

101520 is an abundant number, since it is smaller than the sum of its proper divisors (255600).

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

101520 is a wasteful number, since it uses less digits than its factorization.

101520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 101520 is about 318.6220331364. The cubic root of 101520 is about 46.6498805841.

Adding to 101520 its reverse (25101), we get a palindrome (126621).

It can be divided in two parts, 1015 and 20, that added together give a triangular number (1035 = T₄₅).

The spelling of 101520 in words is "one hundred one thousand, five hundred twenty".