101129005 has 16 divisors (see below), whose sum is σ = 129752064. Its totient is φ = 75398400.

The previous prime is 101128997. The next prime is 101129027. The reversal of 101129005 is 500921101.

It is not a de Polignac number, because 101129005 - 2³ = 101128997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2980 + ... + 14530.

It is an arithmetic number, because the mean of its divisors is an integer number (8109504).

Almost surely, 2^101129005 is an apocalyptic number.

It is an amenable number.

101129005 is a deficient number, since it is larger than the sum of its proper divisors (28623059).

101129005 is a wasteful number, since it uses less digits than its factorization.

101129005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11676.

The product of its (nonzero) digits is 90, while the sum is 19.

The square root of 101129005 is about 10056.2918115974. The cubic root of 101129005 is about 465.8991428287.

The spelling of 101129005 in words is "one hundred one million, one hundred twenty-nine thousand, five".