100067581 has 2 divisors, whose sum is σ = 100067582. Its totient is φ = 100067580.

The previous prime is 100067557. The next prime is 100067621. The reversal of 100067581 is 185760001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52925625 + 47141956 = 7275^2 + 6866^2 .

It is a cyclic number.

It is not a de Polignac number, because 100067581 - 2⁷ = 100067453 is a prime.

It is a super-2 number, since 2×100067581² = 20027041534383122, which contains 22 as substring.

It is equal to p_5765131 and since 100067581 and 5765131 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100067501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50033790 + 50033791.

It is an arithmetic number, because the mean of its divisors is an integer number (50033791).

Almost surely, 2^100067581 is an apocalyptic number.

It is an amenable number.

100067581 is a deficient number, since it is larger than the sum of its proper divisors (1).

100067581 is an equidigital number, since it uses as much as digits as its factorization.

100067581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 100067581 is about 10003.3784792939. The cubic root of 100067581 is about 464.2634208873.

The spelling of 100067581 in words is "one hundred million, sixty-seven thousand, five hundred eighty-one".