100105001000057 has 8 divisors (see below), whose sum is σ = 103483737576192. Its totient is φ = 96735610861200.

The previous prime is 100105001000029. The next prime is 100105001000077. The reversal of 100105001000057 is 750000100501001.

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 100105001000057 - 2²² = 100104996805753 is a prime.

It is a super-3 number, since 3×100105001000057³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100105001000077) 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, 2336587538 + ... + 2336630379.

It is an arithmetic number, because the mean of its divisors is an integer number (12935467197024).

Almost surely, 2^{100105001000057} is an apocalyptic number.

It is an amenable number.

100105001000057 is a deficient number, since it is larger than the sum of its proper divisors (3378736576135).

100105001000057 is an equidigital number, since it uses as much as digits as its factorization.

100105001000057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673218639.

The product of its (nonzero) digits is 175, while the sum is 20.

Adding to 100105001000057 its reverse (750000100501001), we get a palindrome (850105101501058).

The spelling of 100105001000057 in words is "one hundred trillion, one hundred five billion, one million, fifty-seven", and thus it is an aban number.