10071516 has 96 divisors (see below), whose sum is σ = 30256128. Its totient is φ = 2534400.

The previous prime is 10071499. The next prime is 10071517. The reversal of 10071516 is 61517001.

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 = 10071492 and 10071501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10071517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24916 + ... + 25316.

It is an arithmetic number, because the mean of its divisors is an integer number (315168).

Almost surely, 2^10071516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10071516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15128064).

10071516 is an abundant number, since it is smaller than the sum of its proper divisors (20184612).

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

10071516 is a wasteful number, since it uses less digits than its factorization.

10071516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 10071516 is about 3173.5651876084. The cubic root of 10071516 is about 215.9558380223.

Adding to 10071516 its reverse (61517001), we get a palindrome (71588517).

The spelling of 10071516 in words is "ten million, seventy-one thousand, five hundred sixteen".