100585137381 has 32 divisors (see below), whose sum is σ = 145794355200. Its totient is φ = 61449373440.

The previous prime is 100585137361. The next prime is 100585137403. The reversal of 100585137381 is 183731585001.

It is not a de Polignac number, because 100585137381 - 2¹⁴ = 100585120997 is a prime.

It is a super-2 number, since 2×100585137381² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100585137361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4120845 + ... + 4145181.

It is an arithmetic number, because the mean of its divisors is an integer number (4556073600).

Almost surely, 2^100585137381 is an apocalyptic number.

It is an amenable number.

100585137381 is a deficient number, since it is larger than the sum of its proper divisors (45209217819).

100585137381 is a wasteful number, since it uses less digits than its factorization.

100585137381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26729.

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 100585137381 in words is "one hundred billion, five hundred eighty-five million, one hundred thirty-seven thousand, three hundred eighty-one".