100581361 has 2 divisors, whose sum is σ = 100581362. Its totient is φ = 100581360.

The previous prime is 100581347. The next prime is 100581409. The reversal of 100581361 is 163185001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77000625 + 23580736 = 8775^2 + 4856^2 .

It is a cyclic number.

It is not a de Polignac number, because 100581361 - 2⁹ = 100580849 is a prime.

It is a super-2 number, since 2×100581361² = 20233220361224642, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100581311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50290680 + 50290681.

It is an arithmetic number, because the mean of its divisors is an integer number (50290681).

Almost surely, 2^100581361 is an apocalyptic number.

It is an amenable number.

100581361 is a deficient number, since it is larger than the sum of its proper divisors (1).

100581361 is an equidigital number, since it uses as much as digits as its factorization.

100581361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 100581361 is about 10029.0259247845. The cubic root of 100581361 is about 465.0566254701.

The spelling of 100581361 in words is "one hundred million, five hundred eighty-one thousand, three hundred sixty-one".