101460 has 48 divisors (see below), whose sum is σ = 302400. Its totient is φ = 25344.

The previous prime is 101449. The next prime is 101467. The reversal of 101460 is 64101.

It is a super-3 number, since 3×101460³ = 3133327776408000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

101460 is a Rhonda number in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101467) by changing a digit.

101460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 1096 + ... + 1184.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2¹⁰¹⁴⁶⁰ is an apocalyptic number.

101460 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 101460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

101460 is an abundant number, since it is smaller than the sum of its proper divisors (200940).

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

101460 is a wasteful number, since it uses less digits than its factorization.

101460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101460 is about 318.5278637733. The cubic root of 101460 is about 46.6406884891.

Adding to 101460 its reverse (64101), we get a palindrome (165561).

It can be divided in two parts, 101 and 460, that added together give a triangular number (561 = T₃₃).

The spelling of 101460 in words is "one hundred one thousand, four hundred sixty".