100361137 has 2 divisors, whose sum is σ = 100361138. Its totient is φ = 100361136.

The previous prime is 100361123. The next prime is 100361143. The reversal of 100361137 is 731163001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97535376 + 2825761 = 9876^2 + 1681^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100361137 is a prime.

It is not a weakly prime, because it can be changed into another prime (100331137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50180568 + 50180569.

It is an arithmetic number, because the mean of its divisors is an integer number (50180569).

Almost surely, 2^100361137 is an apocalyptic number.

It is an amenable number.

100361137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100361137 is an equidigital number, since it uses as much as digits as its factorization.

100361137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 100361137 is about 10018.0405768793. The cubic root of 100361137 is about 464.7169619123.

The spelling of 100361137 in words is "one hundred million, three hundred sixty-one thousand, one hundred thirty-seven".