101540 has 12 divisors (see below), whose sum is σ = 213276. Its totient is φ = 40608.

The previous prime is 101537. The next prime is 101561. The reversal of 101540 is 45101.

It can be written as a sum of positive squares in 2 ways, for example, as 73984 + 27556 = 272^2 + 166^2 .

It is a congruent number.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 2519 + ... + 2558.

It is an arithmetic number, because the mean of its divisors is an integer number (17773).

2¹⁰¹⁵⁴⁰ is an apocalyptic number.

101540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101540 is an abundant number, since it is smaller than the sum of its proper divisors (111736).

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

101540 is a wasteful number, since it uses less digits than its factorization.

101540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 101540 is about 318.6534167399. The cubic root of 101540 is about 46.6529438108.

Adding to 101540 its reverse (45101), we get a palindrome (146641).

It can be divided in two parts, 10 and 1540, that multiplied together give a triangular number (15400 = T₁₇₅).

The spelling of 101540 in words is "one hundred one thousand, five hundred forty".