106270129 has 16 divisors (see below), whose sum is σ = 123516288. Its totient is φ = 89551872.

The previous prime is 106270093. The next prime is 106270133. The reversal of 106270129 is 921072601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106270129 - 2⁹ = 106269617 is a prime.

It is a super-2 number, since 2×106270129² = 22586680635353282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106270097 and 106270106.

It is not an unprimeable number, because it can be changed into a prime (106270169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183889 + ... + 184465.

It is an arithmetic number, because the mean of its divisors is an integer number (7719768).

Almost surely, 2^106270129 is an apocalyptic number.

It is an amenable number.

106270129 is a deficient number, since it is larger than the sum of its proper divisors (17246159).

106270129 is an equidigital number, since it uses as much as digits as its factorization.

106270129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 106270129 is about 10308.7404177232. The cubic root of 106270129 is about 473.6640266061.

The spelling of 106270129 in words is "one hundred six million, two hundred seventy thousand, one hundred twenty-nine".