101830240 has 48 divisors (see below), whose sum is σ = 243311040. Its totient is φ = 40268800.

The previous prime is 101830237. The next prime is 101830241. The reversal of 101830240 is 42038101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101830241) 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 7 ways as a sum of consecutive naturals, for example, 10665 + ... + 17815.

It is an arithmetic number, because the mean of its divisors is an integer number (5068980).

Almost surely, 2^101830240 is an apocalyptic number.

101830240 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 101830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121655520).

101830240 is an abundant number, since it is smaller than the sum of its proper divisors (141480800).

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

101830240 is an equidigital number, since it uses as much as digits as its factorization.

101830240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7255 (or 7247 counting only the distinct ones).

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

The square root of 101830240 is about 10091.0970662262. The cubic root of 101830240 is about 466.9735215405.

Adding to 101830240 its reverse (42038101), we get a palindrome (143868341).

The spelling of 101830240 in words is "one hundred one million, eight hundred thirty thousand, two hundred forty".