10131616 has 48 divisors (see below), whose sum is σ = 22044960. Its totient is φ = 4545280.

The previous prime is 10131607. The next prime is 10131619. The reversal of 10131616 is 61613101.

It is a junction number, because it is equal to n+sod(n) for n = 10131593 and 10131602.

It is not an unprimeable number, because it can be changed into a prime (10131619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37530 + ... + 37798.

It is an arithmetic number, because the mean of its divisors is an integer number (459270).

Almost surely, 2^10131616 is an apocalyptic number.

10131616 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 10131616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11022480).

10131616 is an abundant number, since it is smaller than the sum of its proper divisors (11913344).

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

10131616 is a wasteful number, since it uses less digits than its factorization.

10131616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 10131616 is about 3183.0199496704. The cubic root of 10131616 is about 216.3845458946.

Adding to 10131616 its reverse (61613101), we get a palindrome (71744717).

The spelling of 10131616 in words is "ten million, one hundred thirty-one thousand, six hundred sixteen".