101000761 has 2 divisors, whose sum is σ = 101000762. Its totient is φ = 101000760.

The previous prime is 101000749. The next prime is 101000771. The reversal of 101000761 is 167000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85673536 + 15327225 = 9256^2 + 3915^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000761 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000741) 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, 50500380 + 50500381.

It is an arithmetic number, because the mean of its divisors is an integer number (50500381).

Almost surely, 2^101000761 is an apocalyptic number.

It is an amenable number.

101000761 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000761 is an equidigital number, since it uses as much as digits as its factorization.

101000761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 101000761 is about 10049.9134822147. The cubic root of 101000761 is about 465.7021204092.

Adding to 101000761 its reverse (167000101), we get a palindrome (268000862).

It can be divided in two parts, 101000 and 761, that added together give a square (101761 = 319²).

The spelling of 101000761 in words is "one hundred one million, seven hundred sixty-one", and thus it is an aban number.