103116496 has 80 divisors (see below), whose sum is σ = 245698560. Its totient is φ = 40936320.

The previous prime is 103116491. The next prime is 103116511. The reversal of 103116496 is 694611301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103116491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99501 + ... + 100531.

It is an arithmetic number, because the mean of its divisors is an integer number (3071232).

Almost surely, 2^103116496 is an apocalyptic number.

103116496 is a gapful number since it is divisible by the number (16) 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 103116496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122849280).

103116496 is an abundant number, since it is smaller than the sum of its proper divisors (142582064).

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

103116496 is a wasteful number, since it uses less digits than its factorization.

103116496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 103116496 is about 10154.6292891469. The cubic root of 103116496 is about 468.9314732963.

Adding to 103116496 its reverse (694611301), we get a palindrome (797727797).

It can be divided in two parts, 10311 and 6496, that added together give a 5-th power (16807 = 7⁵).

The spelling of 103116496 in words is "one hundred three million, one hundred sixteen thousand, four hundred ninety-six".