100096720829567 has 8 divisors (see below), whose sum is σ = 124795911683712. Its totient is φ = 77997444802200.

The previous prime is 100096720829551. The next prime is 100096720829569. The reversal of 100096720829567 is 765928027690001.

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

It is not a de Polignac number, because 100096720829567 - 2⁴ = 100096720829551 is a prime.

It is a super-2 number, since 2×100096720829567² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100096720829569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 649978706609 + ... + 649978706762.

It is an arithmetic number, because the mean of its divisors is an integer number (15599488960464).

Almost surely, 2^{100096720829567} is an apocalyptic number.

100096720829567 is a deficient number, since it is larger than the sum of its proper divisors (24699190854145).

100096720829567 is a wasteful number, since it uses less digits than its factorization.

100096720829567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299957413389.

The product of its (nonzero) digits is 22861440, while the sum is 62.

The spelling of 100096720829567 in words is "one hundred trillion, ninety-six billion, seven hundred twenty million, eight hundred twenty-nine thousand, five hundred sixty-seven".