103131540 has 144 divisors (see below), whose sum is σ = 338083200. Its totient is φ = 25369344.

The previous prime is 103131533. The next prime is 103131593. The reversal of 103131540 is 45131301.

It is a super-2 number, since 2×103131540² = 21272229085543200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119631 + ... + 120489.

It is an arithmetic number, because the mean of its divisors is an integer number (2347800).

Almost surely, 2^103131540 is an apocalyptic number.

103131540 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 103131540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169041600).

103131540 is an abundant number, since it is smaller than the sum of its proper divisors (234951660).

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

103131540 is a wasteful number, since it uses less digits than its factorization.

103131540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 103131540 is about 10155.3700080302. The cubic root of 103131540 is about 468.9542768318.

Adding to 103131540 its reverse (45131301), we get a palindrome (148262841).

The spelling of 103131540 in words is "one hundred three million, one hundred thirty-one thousand, five hundred forty".