107040129 has 16 divisors (see below), whose sum is σ = 171694080. Its totient is φ = 57946320.

The previous prime is 107040121. The next prime is 107040139. The reversal of 107040129 is 921040701.

It is not a de Polignac number, because 107040129 - 2³ = 107040121 is a prime.

It is a super-2 number, since 2×107040129² = 22915178432673282, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 107040099 and 107040108.

It is not an unprimeable number, because it can be changed into a prime (107040121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133737 + ... + 134534.

It is an arithmetic number, because the mean of its divisors is an integer number (10730880).

Almost surely, 2^107040129 is an apocalyptic number.

107040129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

107040129 is a deficient number, since it is larger than the sum of its proper divisors (64653951).

107040129 is a wasteful number, since it uses less digits than its factorization.

107040129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268300.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 107040129 is about 10346.0199593853. The cubic root of 107040129 is about 474.8052815928.

The spelling of 107040129 in words is "one hundred seven million, forty thousand, one hundred twenty-nine".