10145267367 has 32 divisors (see below), whose sum is σ = 14022927360. Its totient is φ = 6520525440.

The previous prime is 10145267347. The next prime is 10145267413. The reversal of 10145267367 is 76376254101.

It is a happy number.

It is not a de Polignac number, because 10145267367 - 2⁷ = 10145267239 is a prime.

It is a super-2 number, since 2×10145267367² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145267347) 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, 5421442 + ... + 5423312.

It is an arithmetic number, because the mean of its divisors is an integer number (438216480).

Almost surely, 2^10145267367 is an apocalyptic number.

10145267367 is a deficient number, since it is larger than the sum of its proper divisors (3877659993).

10145267367 is a wasteful number, since it uses less digits than its factorization.

10145267367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503.

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 10145267367 in words is "ten billion, one hundred forty-five million, two hundred sixty-seven thousand, three hundred sixty-seven".