100875431116417 has 8 divisors (see below), whose sum is σ = 107866797631272. Its totient is φ = 94001566560000.

The previous prime is 100875431116393. The next prime is 100875431116423. The reversal of 100875431116417 is 714611134578001.

It can be written as a sum of positive squares in 4 ways, for example, as 29653241539441 + 71222189576976 = 5445479^2 + 8439324^2 .

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 100875431116417 - 2¹¹ = 100875431114369 is a prime.

It is a super-2 number, since 2×100875431116417² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100875431116517) 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, 29375487834 + ... + 29375491267.

It is an arithmetic number, because the mean of its divisors is an integer number (13483349703909).

Almost surely, 2^{100875431116417} is an apocalyptic number.

100875431116417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100875431116417 is a deficient number, since it is larger than the sum of its proper divisors (6991366514855).

100875431116417 is a wasteful number, since it uses less digits than its factorization.

100875431116417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58750979219.

The product of its (nonzero) digits is 564480, while the sum is 49.

The spelling of 100875431116417 in words is "one hundred trillion, eight hundred seventy-five billion, four hundred thirty-one million, one hundred sixteen thousand, four hundred seventeen".