100800061 has 2 divisors, whose sum is σ = 100800062. Its totient is φ = 100800060.

The previous prime is 100800047. The next prime is 100800113. The reversal of 100800061 is 160008001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79316836 + 21483225 = 8906^2 + 4635^2 .

It is a cyclic number.

It is not a de Polignac number, because 100800061 - 2⁹ = 100799549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100800461) 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, 50400030 + 50400031.

It is an arithmetic number, because the mean of its divisors is an integer number (50400031).

Almost surely, 2^100800061 is an apocalyptic number.

It is an amenable number.

100800061 is a deficient number, since it is larger than the sum of its proper divisors (1).

100800061 is an equidigital number, since it uses as much as digits as its factorization.

100800061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 100800061 is about 10039.9233562812. The cubic root of 100800061 is about 465.3934481690.

Adding to 100800061 its reverse (160008001), we get a palindrome (260808062).

The spelling of 100800061 in words is "one hundred million, eight hundred thousand, sixty-one".