10007151 has 16 divisors (see below), whose sum is σ = 16635648. Its totient is φ = 5198400.

The previous prime is 10007147. The next prime is 10007159. The reversal of 10007151 is 15170001.

It is not a de Polignac number, because 10007151 - 2² = 10007147 is a prime.

It is a super-2 number, since 2×10007151² = 200286142273602, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10007151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21430 + ... + 21891.

It is an arithmetic number, because the mean of its divisors is an integer number (1039728).

Almost surely, 2^10007151 is an apocalyptic number.

10007151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10007151 is a deficient number, since it is larger than the sum of its proper divisors (6628497).

10007151 is a wasteful number, since it uses less digits than its factorization.

10007151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43342.

The product of its (nonzero) digits is 35, while the sum is 15.

The square root of 10007151 is about 3163.4081304821. The cubic root of 10007151 is about 215.4948113084.

Adding to 10007151 its reverse (15170001), we get a palindrome (25177152).

The spelling of 10007151 in words is "ten million, seven thousand, one hundred fifty-one".