101009742 has 8 divisors (see below), whose sum is σ = 202019496. Its totient is φ = 33669912.

The previous prime is 101009737. The next prime is 101009743. The reversal of 101009742 is 247900101.

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

101009742 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101009743) 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 3 ways as a sum of consecutive naturals, for example, 8417473 + ... + 8417484.

It is an arithmetic number, because the mean of its divisors is an integer number (25252437).

Almost surely, 2^101009742 is an apocalyptic number.

101009742 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

101009742 is a wasteful number, since it uses less digits than its factorization.

101009742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16834962.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 101009742 is about 10050.3602920492. The cubic root of 101009742 is about 465.7159234299.

Adding to 101009742 its reverse (247900101), we get a palindrome (348909843).

The spelling of 101009742 in words is "one hundred one million, nine thousand, seven hundred forty-two".