101480 has 32 divisors (see below), whose sum is σ = 237600. Its totient is φ = 38976.

The previous prime is 101477. The next prime is 101483. The reversal of 101480 is 84101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101477) and next prime (101483).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101480.

It is not an unprimeable number, because it can be changed into a prime (101483) 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, 1691 + ... + 1749.

It is an arithmetic number, because the mean of its divisors is an integer number (7425).

2¹⁰¹⁴⁸⁰ is an apocalyptic number.

101480 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 101480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118800).

101480 is an abundant number, since it is smaller than the sum of its proper divisors (136120).

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

101480 is a wasteful number, since it uses less digits than its factorization.

101480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 101480 is about 318.5592566541. The cubic root of 101480 is about 46.6437529233.

Adding to 101480 its reverse (84101), we get a palindrome (185581).

The spelling of 101480 in words is "one hundred one thousand, four hundred eighty".