100416290729 has 2 divisors, whose sum is σ = 100416290730. Its totient is φ = 100416290728.

The previous prime is 100416290719. The next prime is 100416290773. The reversal of 100416290729 is 927092614001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58216038400 + 42200252329 = 241280^2 + 205427^2 .

It is an emirp because it is prime and its reverse (927092614001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100416290729 - 2⁸ = 100416290473 is a prime.

It is not a weakly prime, because it can be changed into another prime (100416290719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50208145364 + 50208145365.

It is an arithmetic number, because the mean of its divisors is an integer number (50208145365).

Almost surely, 2^100416290729 is an apocalyptic number.

It is an amenable number.

100416290729 is a deficient number, since it is larger than the sum of its proper divisors (1).

100416290729 is an equidigital number, since it uses as much as digits as its factorization.

100416290729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54432, while the sum is 41.

The spelling of 100416290729 in words is "one hundred billion, four hundred sixteen million, two hundred ninety thousand, seven hundred twenty-nine".