100968761 has 2 divisors, whose sum is σ = 100968762. Its totient is φ = 100968760.

The previous prime is 100968743. The next prime is 100968779. The reversal of 100968761 is 167869001.

It is a balanced prime because it is at equal distance from previous prime (100968743) and next prime (100968779).

It can be written as a sum of positive squares in only one way, i.e., 85914361 + 15054400 = 9269^2 + 3880^2 .

It is a cyclic number.

It is not a de Polignac number, because 100968761 - 2⁶ = 100968697 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100962761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50484380 + 50484381.

It is an arithmetic number, because the mean of its divisors is an integer number (50484381).

Almost surely, 2^100968761 is an apocalyptic number.

It is an amenable number.

100968761 is a deficient number, since it is larger than the sum of its proper divisors (1).

100968761 is an equidigital number, since it uses as much as digits as its factorization.

100968761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 100968761 is about 10048.3213025858. The cubic root of 100968761 is about 465.6529325225.

The spelling of 100968761 in words is "one hundred million, nine hundred sixty-eight thousand, seven hundred sixty-one".