101038240 has 48 divisors (see below), whose sum is σ = 239484168. Its totient is φ = 40283136.

The previous prime is 101038237. The next prime is 101038247. The reversal of 101038240 is 42830101.

It can be written as a sum of positive squares in 4 ways, for example, as 77651344 + 23386896 = 8812^2 + 4836^2 .

It is not an unprimeable number, because it can be changed into a prime (101038247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58834 + ... + 60526.

Almost surely, 2^101038240 is an apocalyptic number.

101038240 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 101038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119742084).

101038240 is an abundant number, since it is smaller than the sum of its proper divisors (138445928).

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

101038240 is a wasteful number, since it uses less digits than its factorization.

101038240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 101038240 is about 10051.7779521834. Note that the first 3 decimals coincide. The cubic root of 101038240 is about 465.7597169762.

Adding to 101038240 its reverse (42830101), we get a palindrome (143868341).

The spelling of 101038240 in words is "one hundred one million, thirty-eight thousand, two hundred forty".