100105500550577 has 2 divisors, whose sum is σ = 100105500550578. Its totient is φ = 100105500550576.

The previous prime is 100105500550547. The next prime is 100105500550597. The reversal of 100105500550577 is 775055005501001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99144318351376 + 961182199201 = 9957124^2 + 980399^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105500550577 - 2¹⁸ = 100105500288433 is a prime.

It is a super-2 number, since 2×100105500550577² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100105500550547) 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, 50052750275288 + 50052750275289.

It is an arithmetic number, because the mean of its divisors is an integer number (50052750275289).

Almost surely, 2^{100105500550577} is an apocalyptic number.

It is an amenable number.

100105500550577 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105500550577 is an equidigital number, since it uses as much as digits as its factorization.

100105500550577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 153125, while the sum is 41.

The spelling of 100105500550577 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred fifty thousand, five hundred seventy-seven".