101305340 has 96 divisors (see below), whose sum is σ = 238533120. Its totient is φ = 35963136.

The previous prime is 101305339. The next prime is 101305343. The reversal of 101305340 is 43503101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101305343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585494 + ... + 585666.

It is an arithmetic number, because the mean of its divisors is an integer number (2484720).

Almost surely, 2^101305340 is an apocalyptic number.

101305340 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 101305340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119266560).

101305340 is an abundant number, since it is smaller than the sum of its proper divisors (137227780).

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

101305340 is a wasteful number, since it uses less digits than its factorization.

101305340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 101305340 is about 10065.0553898128. The cubic root of 101305340 is about 466.1697761045.

Adding to 101305340 its reverse (43503101), we get a palindrome (144808441).

The spelling of 101305340 in words is "one hundred one million, three hundred five thousand, three hundred forty".