100846409441 has 2 divisors, whose sum is σ = 100846409442. Its totient is φ = 100846409440.

The previous prime is 100846409381. The next prime is 100846409449. The reversal of 100846409441 is 144904648001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99426702400 + 1419707041 = 315320^2 + 37679^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100846409441 is a prime.

It is not a weakly prime, because it can be changed into another prime (100846409449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50423204720 + 50423204721.

It is an arithmetic number, because the mean of its divisors is an integer number (50423204721).

Almost surely, 2^100846409441 is an apocalyptic number.

It is an amenable number.

100846409441 is a deficient number, since it is larger than the sum of its proper divisors (1).

100846409441 is an equidigital number, since it uses as much as digits as its factorization.

100846409441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 100846409441 in words is "one hundred billion, eight hundred forty-six million, four hundred nine thousand, four hundred forty-one".