10142016 has 56 divisors (see below), whose sum is σ = 27151584. Its totient is φ = 3340800.

The previous prime is 10142009. The next prime is 10142017. The reversal of 10142016 is 61024101.

It is a junction number, because it is equal to n+sod(n) for n = 10141986 and 10142004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142017) 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, 19131 + ... + 19653.

Almost surely, 2^10142016 is an apocalyptic number.

10142016 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 10142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575792).

10142016 is an abundant number, since it is smaller than the sum of its proper divisors (17009568).

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

10142016 is a wasteful number, since it uses less digits than its factorization.

10142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10142016 is about 3184.6531993296. The cubic root of 10142016 is about 216.4585594154.

Adding to 10142016 its reverse (61024101), we get a palindrome (71166117).

The spelling of 10142016 in words is "ten million, one hundred forty-two thousand, sixteen".