101042289 has 16 divisors (see below), whose sum is σ = 156201600. Its totient is φ = 64432368.

The previous prime is 101042287. The next prime is 101042311. The reversal of 101042289 is 982240101.

It is not a de Polignac number, because 101042289 - 2¹ = 101042287 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101042287) 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, 80734 + ... + 81975.

It is an arithmetic number, because the mean of its divisors is an integer number (9762600).

Almost surely, 2^101042289 is an apocalyptic number.

It is an amenable number.

101042289 is a deficient number, since it is larger than the sum of its proper divisors (55159311).

101042289 is a wasteful number, since it uses less digits than its factorization.

101042289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162741 (or 162735 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 101042289 is about 10051.9793573206. The cubic root of 101042289 is about 465.7659385015.

The spelling of 101042289 in words is "one hundred one million, forty-two thousand, two hundred eighty-nine".