100084758255993 has 24 divisors (see below), whose sum is σ = 160241034950400. Its totient is φ = 55346410092960.

The previous prime is 100084758255947. The next prime is 100084758256051. The reversal of 100084758255993 is 399552857480001.

It is not a de Polignac number, because 100084758255993 - 2²⁵ = 100084724701561 is a prime.

It is a super-3 number, since 3×100084758255993³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100084758255913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10981426018 + ... + 10981435131.

It is an arithmetic number, because the mean of its divisors is an integer number (6676709789600).

Almost surely, 2^{100084758255993} is an apocalyptic number.

It is an amenable number.

100084758255993 is a deficient number, since it is larger than the sum of its proper divisors (60156276694407).

100084758255993 is a wasteful number, since it uses less digits than its factorization.

100084758255993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21962861197 (or 21962861190 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 66.

The spelling of 100084758255993 in words is "one hundred trillion, eighty-four billion, seven hundred fifty-eight million, two hundred fifty-five thousand, nine hundred ninety-three".