61800107 has 2 divisors, whose sum is σ = 61800108. Its totient is φ = 61800106.

The previous prime is 61800077. The next prime is 61800113. The reversal of 61800107 is 70100816.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 61800107 - 2¹⁴ = 61783723 is a prime.

It is a super-2 number, since 2×61800107² = 7638506450422898, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (61800127) 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, 30900053 + 30900054.

It is an arithmetic number, because the mean of its divisors is an integer number (30900054).

Almost surely, 2^61800107 is an apocalyptic number.

61800107 is a deficient number, since it is larger than the sum of its proper divisors (1).

61800107 is an equidigital number, since it uses as much as digits as its factorization.

61800107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 61800107 is about 7861.3044083027. The cubic root of 61800107 is about 395.3633509666.

The spelling of 61800107 in words is "sixty-one million, eight hundred thousand, one hundred seven".