101105272540 has 12 divisors (see below), whose sum is σ = 212321072376. Its totient is φ = 40442109008.

The previous prime is 101105272483. The next prime is 101105272549. The reversal of 101105272540 is 45272501101.

It is a super-2 number, since 2×101105272540² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101105272499 and 101105272508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101105272549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2527631794 + ... + 2527631833.

It is an arithmetic number, because the mean of its divisors is an integer number (17693422698).

Almost surely, 2^101105272540 is an apocalyptic number.

101105272540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101105272540 is an abundant number, since it is smaller than the sum of its proper divisors (111215799836).

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

101105272540 is a wasteful number, since it uses less digits than its factorization.

101105272540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055263636 (or 5055263634 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

Adding to 101105272540 its reverse (45272501101), we get a palindrome (146377773641).

The spelling of 101105272540 in words is "one hundred one billion, one hundred five million, two hundred seventy-two thousand, five hundred forty".