100097008160 has 96 divisors (see below), whose sum is σ = 240840054000. Its totient is φ = 39303106560.

The previous prime is 100097008133. The next prime is 100097008171. The reversal of 100097008160 is 61800790001.

It can be written as a sum of positive squares in 8 ways, for example, as 28343742736 + 71753265424 = 168356^2 + 267868^2 .

It is a super-2 number, since 2×100097008160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4957766 + ... + 4977914.

Almost surely, 2^100097008160 is an apocalyptic number.

100097008160 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 100097008160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120420027000).

100097008160 is an abundant number, since it is smaller than the sum of its proper divisors (140743045840).

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

100097008160 is a wasteful number, since it uses less digits than its factorization.

100097008160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20734 (or 20726 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

Adding to 100097008160 its reverse (61800790001), we get a palindrome (161897798161).

The spelling of 100097008160 in words is "one hundred billion, ninety-seven million, eight thousand, one hundred sixty".