101742112 has 24 divisors (see below), whose sum is σ = 210848400. Its totient is φ = 48193344.

The previous prime is 101742107. The next prime is 101742143. The reversal of 101742112 is 211247101.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 101742112.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83062 + ... + 84277.

It is an arithmetic number, because the mean of its divisors is an integer number (8785350).

Almost surely, 2^101742112 is an apocalyptic number.

It is an amenable number.

101742112 is an abundant number, since it is smaller than the sum of its proper divisors (109106288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101742112 is a wasteful number, since it uses less digits than its factorization.

101742112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167368 (or 167360 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 101742112 is about 10086.7294996941. The cubic root of 101742112 is about 466.8387700817.

Adding to 101742112 its reverse (211247101), we get a palindrome (312989213).

The spelling of 101742112 in words is "one hundred one million, seven hundred forty-two thousand, one hundred twelve".