101580 has 24 divisors (see below), whose sum is σ = 284592. Its totient is φ = 27072.

The previous prime is 101573. The next prime is 101581. The reversal of 101580 is 85101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (101581) by changing a digit.

101580 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 7 ways as a sum of consecutive naturals, for example, 787 + ... + 906.

It is an arithmetic number, because the mean of its divisors is an integer number (11858).

2¹⁰¹⁵⁸⁰ is an apocalyptic number.

101580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101580 is an abundant number, since it is smaller than the sum of its proper divisors (183012).

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

101580 is a wasteful number, since it uses less digits than its factorization.

101580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 101580 is about 318.7161746758. The cubic root of 101580 is about 46.6590690579.

Adding to 101580 its reverse (85101), we get a palindrome (186681).

The spelling of 101580 in words is "one hundred one thousand, five hundred eighty".