101005340238 has 72 divisors (see below), whose sum is σ = 242142355728. Its totient is φ = 30404880000.

The previous prime is 101005340237. The next prime is 101005340239. The reversal of 101005340238 is 832043500101.

It is a happy number.

101005340238 is a `hidden beast` number, since 1 + 0 + 100 + 534 + 0 + 23 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (101005340237) and next prime (101005340239).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101005340237) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 175318 + ... + 482438.

It is an arithmetic number, because the mean of its divisors is an integer number (3363088274).

Almost surely, 2^101005340238 is an apocalyptic number.

101005340238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101005340238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121071177864).

101005340238 is an abundant number, since it is smaller than the sum of its proper divisors (141137015490).

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

101005340238 is a wasteful number, since it uses less digits than its factorization.

101005340238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307302 (or 307288 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 101005340238 its reverse (832043500101), we get a palindrome (933048840339).

The spelling of 101005340238 in words is "one hundred one billion, five million, three hundred forty thousand, two hundred thirty-eight".