103640040 has 128 divisors (see below), whose sum is σ = 394848000. Its totient is φ = 23687424.

The previous prime is 103640023. The next prime is 103640059. The reversal of 103640040 is 40046301.

It is a super-3 number, since 3×103640040³ (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 103639995 and 103640022.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 706 + ... + 14414.

It is an arithmetic number, because the mean of its divisors is an integer number (3084750).

Almost surely, 2^103640040 is an apocalyptic number.

103640040 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 103640040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197424000).

103640040 is an abundant number, since it is smaller than the sum of its proper divisors (291207960).

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

103640040 is a wasteful number, since it uses less digits than its factorization.

103640040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13736 (or 13726 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 103640040 is about 10180.3752386638. The cubic root of 103640040 is about 469.7237549753.

Adding to 103640040 its reverse (40046301), we get a palindrome (143686341).

The spelling of 103640040 in words is "one hundred three million, six hundred forty thousand, forty".