101105055553 has 32 divisors (see below), whose sum is σ = 112479887520. Its totient is φ = 90475315200.

The previous prime is 101105055551. The next prime is 101105055589. The reversal of 101105055553 is 355550501101.

It can be written as a sum of positive squares in 16 ways, for example, as 7192227249 + 93912828304 = 84807^2 + 306452^2 .

It is a cyclic number.

It is not a de Polignac number, because 101105055553 - 2¹ = 101105055551 is a prime.

It is a super-2 number, since 2×101105055553² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101105055551) 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, 4994853 + ... + 5015053.

It is an arithmetic number, because the mean of its divisors is an integer number (3514996485).

Almost surely, 2^101105055553 is an apocalyptic number.

It is an amenable number.

101105055553 is a deficient number, since it is larger than the sum of its proper divisors (11374831967).

101105055553 is a wasteful number, since it uses less digits than its factorization.

101105055553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20437.

The product of its (nonzero) digits is 9375, while the sum is 31.

Adding to 101105055553 its reverse (355550501101), we get a palindrome (456655556654).

The spelling of 101105055553 in words is "one hundred one billion, one hundred five million, fifty-five thousand, five hundred fifty-three".