100443991041 has 27 divisors (see below), whose sum is σ = 146857980451. Its totient is φ = 66154491744.

The previous prime is 100443991031. The next prime is 100443991049. The reversal of 100443991041 is 140199344001.

The square root of 100443991041 is 316929.

It is a perfect power (a square), and thus also a powerful number.

100443991041 is a `hidden beast` number, since 100 + 443 + 9 + 9 + 104 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19287376641 + 81156614400 = 138879^2 + 284880^2 .

It is not a de Polignac number, because 100443991041 - 2¹¹ = 100443988993 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100443990987 and 100443991005.

It is not an unprimeable number, because it can be changed into a prime (100443991049) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 84619450 + ... + 84620636.

Almost surely, 2^100443991041 is an apocalyptic number.

100443991041 is the 316929-th square number.

100443991041 is the 158465-th centered octagonal number.

It is an amenable number.

100443991041 is a deficient number, since it is larger than the sum of its proper divisors (46413989410).

100443991041 is an frugal number, since it uses more digits than its factorization.

100443991041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 100443991041 by its sum of digits (36), we get a square (3615983677476 = 1901574²).

The spelling of 100443991041 in words is "one hundred billion, four hundred forty-three million, nine hundred ninety-one thousand, forty-one".