101242240 has 128 divisors (see below), whose sum is σ = 269010720. Its totient is φ = 36126720.

The previous prime is 101242201. The next prime is 101242319. The reversal of 101242240 is 42242101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513822 + ... + 514018.

Almost surely, 2^101242240 is an apocalyptic number.

101242240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134505360).

101242240 is an abundant number, since it is smaller than the sum of its proper divisors (167768480).

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

101242240 is a wasteful number, since it uses less digits than its factorization.

101242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 101242240 is about 10061.9202938604. The cubic root of 101242240 is about 466.0729683670.

Adding to 101242240 its reverse (42242101), we get a palindrome (143484341).

The spelling of 101242240 in words is "one hundred one million, two hundred forty-two thousand, two hundred forty".