100735479577 has 2 divisors, whose sum is σ = 100735479578. Its totient is φ = 100735479576.

The previous prime is 100735479539. The next prime is 100735479601. The reversal of 100735479577 is 775974537001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100664060176 + 71419401 = 317276^2 + 8451^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100735479577 is a prime.

It is not a weakly prime, because it can be changed into another prime (100735479077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50367739788 + 50367739789.

It is an arithmetic number, because the mean of its divisors is an integer number (50367739789).

Almost surely, 2^100735479577 is an apocalyptic number.

It is an amenable number.

100735479577 is a deficient number, since it is larger than the sum of its proper divisors (1).

100735479577 is an equidigital number, since it uses as much as digits as its factorization.

100735479577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6482700, while the sum is 55.

The spelling of 100735479577 in words is "one hundred billion, seven hundred thirty-five million, four hundred seventy-nine thousand, five hundred seventy-seven".