90910100077 has 2 divisors, whose sum is σ = 90910100078. Its totient is φ = 90910100076.

The previous prime is 90910100023. The next prime is 90910100107. The reversal of 90910100077 is 77000101909.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57804661476 + 33105438601 = 240426^2 + 181949^2 .

It is a cyclic number.

It is not a de Polignac number, because 90910100077 - 2⁷ = 90910099949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90910100377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45455050038 + 45455050039.

It is an arithmetic number, because the mean of its divisors is an integer number (45455050039).

Almost surely, 2^90910100077 is an apocalyptic number.

It is an amenable number.

90910100077 is a deficient number, since it is larger than the sum of its proper divisors (1).

90910100077 is an equidigital number, since it uses as much as digits as its factorization.

90910100077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3969, while the sum is 34.

The spelling of 90910100077 in words is "ninety billion, nine hundred ten million, one hundred thousand, seventy-seven".