10103616 has 70 divisors (see below), whose sum is σ = 29965650. Its totient is φ = 3366144.

The previous prime is 10103603. The next prime is 10103623. The reversal of 10103616 is 61630101.

It can be written as a sum of positive squares in only one way, i.e., 9585216 + 518400 = 3096^2 + 720^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4210 + ... + 6158.

Almost surely, 2^10103616 is an apocalyptic number.

10103616 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 10103616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14982825).

10103616 is an abundant number, since it is smaller than the sum of its proper divisors (19862034).

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

10103616 is an equidigital number, since it uses as much as digits as its factorization.

10103616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10103616 is about 3178.6185678688. The cubic root of 10103616 is about 216.1850266452.

Adding to 10103616 its reverse (61630101), we get a palindrome (71733717).

The spelling of 10103616 in words is "ten million, one hundred three thousand, six hundred sixteen".