100416290773 has 2 divisors, whose sum is σ = 100416290774. Its totient is φ = 100416290772.

The previous prime is 100416290729. The next prime is 100416290783. The reversal of 100416290773 is 377092614001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88760497329 + 11655793444 = 297927^2 + 107962^2 .

It is a cyclic number.

It is not a de Polignac number, because 100416290773 - 2²⁵ = 100382736341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100416290783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50208145386 + 50208145387.

It is an arithmetic number, because the mean of its divisors is an integer number (50208145387).

Almost surely, 2^100416290773 is an apocalyptic number.

It is an amenable number.

100416290773 is a deficient number, since it is larger than the sum of its proper divisors (1).

100416290773 is an equidigital number, since it uses as much as digits as its factorization.

100416290773 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 40.

The spelling of 100416290773 in words is "one hundred billion, four hundred sixteen million, two hundred ninety thousand, seven hundred seventy-three".