10007146 has 16 divisors (see below), whose sum is σ = 15863040. Its totient is φ = 4726960.

The previous prime is 10007143. The next prime is 10007147. The reversal of 10007146 is 64170001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10007143) 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 7 ways as a sum of consecutive naturals, for example, 891 + ... + 4561.

It is an arithmetic number, because the mean of its divisors is an integer number (991440).

Almost surely, 2^10007146 is an apocalyptic number.

10007146 is a deficient number, since it is larger than the sum of its proper divisors (5855894).

10007146 is a wasteful number, since it uses less digits than its factorization.

10007146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10007146 is about 3163.4073401951. The cubic root of 10007146 is about 215.4947754183.

Adding to 10007146 its reverse (64170001), we get a palindrome (74177147).

It can be divided in two parts, 10007 and 146, that added together give a triangular number (10153 = T₁₄₂).

The spelling of 10007146 in words is "ten million, seven thousand, one hundred forty-six".