103531244040 has 512 divisors, whose sum is σ = 401540198400. Its totient is φ = 23240355840.

The previous prime is 103531244029. The next prime is 103531244053. The reversal of 103531244040 is 40442135301.

It is a happy number.

103531244040 is a `hidden beast` number, since 103 + 531 + 24 + 4 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103531243995 and 103531244013.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105968032 + ... + 105969008.

It is an arithmetic number, because the mean of its divisors is an integer number (784258200).

Almost surely, 2^103531244040 is an apocalyptic number.

103531244040 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 103531244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200770099200).

103531244040 is an abundant number, since it is smaller than the sum of its proper divisors (298008954360).

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

103531244040 is a wasteful number, since it uses less digits than its factorization.

103531244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 103531244040 its reverse (40442135301), we get a palindrome (143973379341).

The spelling of 103531244040 in words is "one hundred three billion, five hundred thirty-one million, two hundred forty-four thousand, forty".