10115616 has 48 divisors (see below), whose sum is σ = 30348864. Its totient is φ = 2889984.

The previous prime is 10115597. The next prime is 10115639. The reversal of 10115616 is 61651101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10115592 and 10115601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6855 + ... + 8198.

It is an arithmetic number, because the mean of its divisors is an integer number (632268).

Almost surely, 2^10115616 is an apocalyptic number.

10115616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10115616 is an abundant number, since it is smaller than the sum of its proper divisors (20233248).

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

10115616 is a wasteful number, since it uses less digits than its factorization.

10115616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15073 (or 15065 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 10115616 is about 3180.5056201805. The cubic root of 10115616 is about 216.2705799742.

Adding to 10115616 its reverse (61651101), we get a palindrome (71766717).

It can be divided in two parts, 10115 and 616, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 10115616 in words is "ten million, one hundred fifteen thousand, six hundred sixteen".