107200129 has 2 divisors, whose sum is σ = 107200130. Its totient is φ = 107200128.

The previous prime is 107200123. The next prime is 107200133. The reversal of 107200129 is 921002701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107081104 + 119025 = 10348^2 + 345^2 .

It is a cyclic number.

It is not a de Polignac number, because 107200129 - 2¹¹ = 107198081 is a prime.

It is a super-2 number, since 2×107200129² = 22983735315233282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107200123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53600064 + 53600065.

It is an arithmetic number, because the mean of its divisors is an integer number (53600065).

Almost surely, 2^107200129 is an apocalyptic number.

It is an amenable number.

107200129 is a deficient number, since it is larger than the sum of its proper divisors (1).

107200129 is an equidigital number, since it uses as much as digits as its factorization.

107200129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 107200129 is about 10353.7495140649. The cubic root of 107200129 is about 475.0417381606.

The spelling of 107200129 in words is "one hundred seven million, two hundred thousand, one hundred twenty-nine".