103116040 has 96 divisors (see below), whose sum is σ = 252785880. Its totient is φ = 37822464.

The previous prime is 103116037. The next prime is 103116049. The reversal of 103116040 is 40611301.

It can be written as a sum of positive squares in 4 ways, for example, as 89529444 + 13586596 = 9462^2 + 3686^2 .

It is not an unprimeable number, because it can be changed into a prime (103116049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534184 + ... + 534376.

Almost surely, 2^103116040 is an apocalyptic number.

103116040 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 103116040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126392940).

103116040 is an abundant number, since it is smaller than the sum of its proper divisors (149669840).

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

103116040 is a wasteful number, since it uses less digits than its factorization.

103116040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 103116040 is about 10154.6068363083. The cubic root of 103116040 is about 468.9307820617.

Adding to 103116040 its reverse (40611301), we get a palindrome (143727341).

It can be divided in two parts, 1031 and 16040, that added together give a palindrome (17071).

The spelling of 103116040 in words is "one hundred three million, one hundred sixteen thousand, forty".