100282874092065 has 144 divisors (see below), whose sum is σ = 203306167142208. Its totient is φ = 45594114354432.

The previous prime is 100282874092061. The next prime is 100282874092087. The reversal of 100282874092065 is 560290478282001.

100282874092065 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 8 + 28 + 7 + 409 + 206 + 5 = 666.

It is not a de Polignac number, because 100282874092065 - 2² = 100282874092061 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100282874092061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 326206207 + ... + 326513483.

It is an arithmetic number, because the mean of its divisors is an integer number (1411848382932).

Almost surely, 2^{100282874092065} is an apocalyptic number.

100282874092065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100282874092065 is an abundant number, since it is smaller than the sum of its proper divisors (103023293050143).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100282874092065 is a wasteful number, since it uses less digits than its factorization.

100282874092065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308108 (or 308098 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 100282874092065 in words is "one hundred trillion, two hundred eighty-two billion, eight hundred seventy-four million, ninety-two thousand, sixty-five".