100534441680 has 160 divisors (see below), whose sum is σ = 346778995200. Its totient is φ = 26770963968.

The previous prime is 100534441669. The next prime is 100534441687. The reversal of 100534441680 is 86144435001.

100534441680 is a `hidden beast` number, since 1 + 0 + 0 + 53 + 444 + 168 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100534441687) 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, 1498617 + ... + 1564263.

It is an arithmetic number, because the mean of its divisors is an integer number (2167368720).

Almost surely, 2^100534441680 is an apocalyptic number.

100534441680 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 100534441680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173389497600).

100534441680 is an abundant number, since it is smaller than the sum of its proper divisors (246244553520).

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

100534441680 is a wasteful number, since it uses less digits than its factorization.

100534441680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66378 (or 66366 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 100534441680 its reverse (86144435001), we get a palindrome (186678876681).

The spelling of 100534441680 in words is "one hundred billion, five hundred thirty-four million, four hundred forty-one thousand, six hundred eighty".