101005340240 has 80 divisors (see below), whose sum is σ = 268723550592. Its totient is φ = 34586798592.

The previous prime is 101005340239. The next prime is 101005340263. The reversal of 101005340240 is 42043500101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 333167 + ... + 559473.

Almost surely, 2^101005340240 is an apocalyptic number.

101005340240 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 101005340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134361775296).

101005340240 is an abundant number, since it is smaller than the sum of its proper divisors (167718210352).

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

101005340240 is a wasteful number, since it uses less digits than its factorization.

101005340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227124 (or 227118 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 101005340240 its reverse (42043500101), we get a palindrome (143048840341).

The spelling of 101005340240 in words is "one hundred one billion, five million, three hundred forty thousand, two hundred forty".