101585232160 has 96 divisors (see below), whose sum is σ = 248841331200. Its totient is φ = 39142763520.

The previous prime is 101585232157. The next prime is 101585232233. The reversal of 101585232160 is 61232585101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2012025 + ... + 2061895.

It is an arithmetic number, because the mean of its divisors is an integer number (2592097200).

Almost surely, 2^101585232160 is an apocalyptic number.

101585232160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101585232160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124420665600).

101585232160 is an abundant number, since it is smaller than the sum of its proper divisors (147256099040).

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

101585232160 is a wasteful number, since it uses less digits than its factorization.

101585232160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50354 (or 50346 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 101585232160 in words is "one hundred one billion, five hundred eighty-five million, two hundred thirty-two thousand, one hundred sixty".