100642144767 has 8 divisors (see below), whose sum is σ = 134200768896. Its totient is φ = 67089141912.

The previous prime is 100642144751. The next prime is 100642144777. The reversal of 100642144767 is 767441246001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100642144767 - 2⁴ = 100642144751 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100642144777) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1363363 + ... + 1435284.

It is an arithmetic number, because the mean of its divisors is an integer number (16775096112).

Almost surely, 2^100642144767 is an apocalyptic number.

100642144767 is a deficient number, since it is larger than the sum of its proper divisors (33558624129).

100642144767 is a wasteful number, since it uses less digits than its factorization.

100642144767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810637.

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 100642144767 in words is "one hundred billion, six hundred forty-two million, one hundred forty-four thousand, seven hundred sixty-seven".