100042129 has 8 divisors (see below), whose sum is σ = 109704672. Its totient is φ = 90474240.

The previous prime is 100042121. The next prime is 100042147. The reversal of 100042129 is 921240001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100042129 - 2³ = 100042121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100042121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21439 + ... + 25684.

It is an arithmetic number, because the mean of its divisors is an integer number (13713084).

Almost surely, 2^100042129 is an apocalyptic number.

It is an amenable number.

100042129 is a deficient number, since it is larger than the sum of its proper divisors (9662543).

100042129 is a wasteful number, since it uses less digits than its factorization.

100042129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47327.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 100042129 is about 10002.1062281901. The cubic root of 100042129 is about 464.2240560419.

The spelling of 100042129 in words is "one hundred million, forty-two thousand, one hundred twenty-nine".