10007160 has 64 divisors (see below), whose sum is σ = 30391200. Its totient is φ = 2635776.

The previous prime is 10007159. The next prime is 10007161. The reversal of 10007160 is 6170001.

It is an interprime number because it is at equal distance from previous prime (10007159) and next prime (10007161).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10212 + ... + 11148.

Almost surely, 2^10007160 is an apocalyptic number.

10007160 is a gapful number since it is divisible by the number (10) 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 10007160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15195600).

10007160 is an abundant number, since it is smaller than the sum of its proper divisors (20384040).

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

10007160 is a wasteful number, since it uses less digits than its factorization.

10007160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 10007160 is about 3163.4095529982. The cubic root of 10007160 is about 215.4948759106.

Adding to 10007160 its reverse (6170001), we get a palindrome (16177161).

The spelling of 10007160 in words is "ten million, seven thousand, one hundred sixty".