100414129 has 2 divisors, whose sum is σ = 100414130. Its totient is φ = 100414128.

The previous prime is 100414103. The next prime is 100414133. The reversal of 100414129 is 921414001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92160000 + 8254129 = 9600^2 + 2873^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100414129 is a prime.

It is not a weakly prime, because it can be changed into another prime (100414199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50207064 + 50207065.

It is an arithmetic number, because the mean of its divisors is an integer number (50207065).

Almost surely, 2^100414129 is an apocalyptic number.

It is an amenable number.

100414129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100414129 is an equidigital number, since it uses as much as digits as its factorization.

100414129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 100414129 is about 10020.6850564220. The cubic root of 100414129 is about 464.7987397429.

The spelling of 100414129 in words is "one hundred million, four hundred fourteen thousand, one hundred twenty-nine".