100685558034 has 64 divisors (see below), whose sum is σ = 233578598400. Its totient is φ = 32088226896.

The previous prime is 100685558003. The next prime is 100685558047. The reversal of 100685558034 is 430855586001.

100685558034 is a `hidden beast` number, since 1 + 0 + 0 + 68 + 5 + 5 + 580 + 3 + 4 = 666.

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, 2942677 + ... + 2976695.

It is an arithmetic number, because the mean of its divisors is an integer number (3649665600).

Almost surely, 2^100685558034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100685558034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116789299200).

100685558034 is an abundant number, since it is smaller than the sum of its proper divisors (132893040366).

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

100685558034 is a wasteful number, since it uses less digits than its factorization.

100685558034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36436 (or 36430 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 100685558034 in words is "one hundred billion, six hundred eighty-five million, five hundred fifty-eight thousand, thirty-four".