100915810385 has 32 divisors (see below), whose sum is σ = 131305400352. Its totient is φ = 74014986240.

The previous prime is 100915810349. The next prime is 100915810433. The reversal of 100915810385 is 583018519001.

It can be written as a sum of positive squares in 16 ways, for example, as 89572708369 + 11343102016 = 299287^2 + 106504^2 .

It is not a de Polignac number, because 100915810385 - 2¹⁰ = 100915809361 is a prime.

It is a super-2 number, since 2×100915810385² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5698745 + ... + 5716425.

It is an arithmetic number, because the mean of its divisors is an integer number (4103293761).

Almost surely, 2^100915810385 is an apocalyptic number.

It is an amenable number.

100915810385 is a deficient number, since it is larger than the sum of its proper divisors (30389589967).

100915810385 is a wasteful number, since it uses less digits than its factorization.

100915810385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18293.

The product of its (nonzero) digits is 43200, while the sum is 41.

The spelling of 100915810385 in words is "one hundred billion, nine hundred fifteen million, eight hundred ten thousand, three hundred eighty-five".