100777081 has 2 divisors, whose sum is σ = 100777082. Its totient is φ = 100777080.

The previous prime is 100777069. The next prime is 100777087. The reversal of 100777081 is 180777001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73685056 + 27092025 = 8584^2 + 5205^2 .

It is a cyclic number.

It is not a de Polignac number, because 100777081 - 2⁵ = 100777049 is a prime.

It is a super-2 number, since 2×100777081² = 20312040109761122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100777087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50388540 + 50388541.

It is an arithmetic number, because the mean of its divisors is an integer number (50388541).

Almost surely, 2^100777081 is an apocalyptic number.

It is an amenable number.

100777081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100777081 is an equidigital number, since it uses as much as digits as its factorization.

100777081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2744, while the sum is 31.

The square root of 100777081 is about 10038.7788600009. The cubic root of 100777081 is about 465.3580792941.

The spelling of 100777081 in words is "one hundred million, seven hundred seventy-seven thousand, eighty-one".