10152016 has 60 divisors (see below), whose sum is σ = 23918112. Its totient is φ = 4154304.

The previous prime is 10152013. The next prime is 10152017. The reversal of 10152016 is 61025101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10152011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17751 + ... + 18313.

Almost surely, 2^10152016 is an apocalyptic number.

10152016 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 10152016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11959056).

10152016 is an abundant number, since it is smaller than the sum of its proper divisors (13766096).

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

10152016 is a wasteful number, since it uses less digits than its factorization.

10152016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 10152016 is about 3186.2228421754. Note that the first 3 decimals coincide. The cubic root of 10152016 is about 216.5296785616.

10152016 divided by its sum of digits (16) gives a triangular number (634501 = T₁₁₂₆).

Adding to 10152016 its reverse (61025101), we get a palindrome (71177117).

The spelling of 10152016 in words is "ten million, one hundred fifty-two thousand, sixteen".