100581543936 has 390 divisors, whose sum is σ = 319484630850. Its totient is φ = 31524913152.

The previous prime is 100581543893. The next prime is 100581543943. The reversal of 100581543936 is 639345185001.

100581543936 is a `hidden beast` number, since 1 + 0 + 0 + 581 + 5 + 4 + 39 + 36 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 64231833600 + 36349710336 = 253440^2 + 190656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100581543891 and 100581543900.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 95882740 + ... + 95883788.

Almost surely, 2^100581543936 is an apocalyptic number.

100581543936 is a gapful number since it is divisible by the number (16) 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 100581543936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159742315425).

100581543936 is an abundant number, since it is smaller than the sum of its proper divisors (218903086914).

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

100581543936 is an equidigital number, since it uses as much as digits as its factorization.

100581543936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 100581543936 in words is "one hundred billion, five hundred eighty-one million, five hundred forty-three thousand, nine hundred thirty-six".