100416543040541 has 48 divisors (see below), whose sum is σ = 133315606163376. Its totient is φ = 74709942257664.

The previous prime is 100416543040511. The next prime is 100416543040543. The reversal of 100416543040541 is 145040345614001.

It can be written as a sum of positive squares in 8 ways, for example, as 35580899641 + 100380962140900 = 188629^2 + 10019030^2 .

It is not a de Polignac number, because 100416543040541 - 2³⁴ = 100399363171357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100416543040495 and 100416543040504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100416543040543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7945175 + ... + 16246811.

It is an arithmetic number, because the mean of its divisors is an integer number (2777408461737).

Almost surely, 2^{100416543040541} is an apocalyptic number.

It is an amenable number.

100416543040541 is a deficient number, since it is larger than the sum of its proper divisors (32899063122835).

100416543040541 is a wasteful number, since it uses less digits than its factorization.

100416543040541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8302798 (or 8302791 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

Adding to 100416543040541 its reverse (145040345614001), we get a palindrome (245456888654542).

The spelling of 100416543040541 in words is "one hundred trillion, four hundred sixteen billion, five hundred forty-three million, forty thousand, five hundred forty-one".