100166761 has 2 divisors, whose sum is σ = 100166762. Its totient is φ = 100166760.

The previous prime is 100166753. The next prime is 100166777. The reversal of 100166761 is 167661001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94945536 + 5221225 = 9744^2 + 2285^2 .

It is a cyclic number.

It is not a de Polignac number, because 100166761 - 2³ = 100166753 is a prime.

It is a super-2 number, since 2×100166761² = 20066760018462242, which contains 22 as substring.

It is equal to p_5770522 and since 100166761 and 5770522 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (100166791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50083380 + 50083381.

It is an arithmetic number, because the mean of its divisors is an integer number (50083381).

Almost surely, 2^100166761 is an apocalyptic number.

It is an amenable number.

100166761 is a deficient number, since it is larger than the sum of its proper divisors (1).

100166761 is an equidigital number, since it uses as much as digits as its factorization.

100166761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 100166761 is about 10008.3345767415. The cubic root of 100166761 is about 464.4167520714.

The spelling of 100166761 in words is "one hundred million, one hundred sixty-six thousand, seven hundred sixty-one".