106910129 has 2 divisors, whose sum is σ = 106910130. Its totient is φ = 106910128.

The previous prime is 106910117. The next prime is 106910137. The reversal of 106910129 is 921019601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88830625 + 18079504 = 9425^2 + 4252^2 .

It is a cyclic number.

It is not a de Polignac number, because 106910129 - 2¹⁶ = 106844593 is a prime.

It is a super-2 number, since 2×106910129² = 22859551365593282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106910429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53455064 + 53455065.

It is an arithmetic number, because the mean of its divisors is an integer number (53455065).

Almost surely, 2^106910129 is an apocalyptic number.

It is an amenable number.

106910129 is a deficient number, since it is larger than the sum of its proper divisors (1).

106910129 is an equidigital number, since it uses as much as digits as its factorization.

106910129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 29.

The square root of 106910129 is about 10339.7354414898. The cubic root of 106910129 is about 474.6129870698.

The spelling of 106910129 in words is "one hundred six million, nine hundred ten thousand, one hundred twenty-nine".