100100429 has 16 divisors (see below), whose sum is σ = 120785280. Its totient is φ = 81725760.

The previous prime is 100100423. The next prime is 100100461. The reversal of 100100429 is 924001001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100100429 - 2²⁰ = 99051853 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4169 + ... + 14750.

It is an arithmetic number, because the mean of its divisors is an integer number (7549080).

Almost surely, 2^100100429 is an apocalyptic number.

It is an amenable number.

100100429 is a deficient number, since it is larger than the sum of its proper divisors (20684851).

100100429 is a wasteful number, since it uses less digits than its factorization.

100100429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18980.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 100100429 is about 10005.0201898847. The cubic root of 100100429 is about 464.3142147486.

The spelling of 100100429 in words is "one hundred million, one hundred thousand, four hundred twenty-nine".