100354129919 has 8 divisors (see below), whose sum is σ = 101788917120. Its totient is φ = 98928690336.

The previous prime is 100354129859. The next prime is 100354129961. The reversal of 100354129919 is 919921453001.

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

It is a cyclic number.

It is not a de Polignac number, because 100354129919 - 2²⁰ = 100353081343 is a prime.

It is a super-3 number, since 3×100354129919³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100354129919.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100354129219) 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, 2315279 + ... + 2358224.

It is an arithmetic number, because the mean of its divisors is an integer number (12723614640).

Almost surely, 2^100354129919 is an apocalyptic number.

100354129919 is a deficient number, since it is larger than the sum of its proper divisors (1434787201).

100354129919 is a wasteful number, since it uses less digits than its factorization.

100354129919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673809.

The product of its (nonzero) digits is 87480, while the sum is 44.

The spelling of 100354129919 in words is "one hundred billion, three hundred fifty-four million, one hundred twenty-nine thousand, nine hundred nineteen".