105510001101054 has 96 divisors (see below), whose sum is σ = 232310623860000. Its totient is φ = 31922725232640.

The previous prime is 105510001101049. The next prime is 105510001101157. The reversal of 105510001101054 is 450101100015501.

It is a super-2 number, since 2×105510001101054² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1271025502 + ... + 1271108510.

It is an arithmetic number, because the mean of its divisors is an integer number (2419902331875).

Almost surely, 2^{105510001101054} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105510001101054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116155311930000).

105510001101054 is an abundant number, since it is smaller than the sum of its proper divisors (126800622758946).

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

105510001101054 is a wasteful number, since it uses less digits than its factorization.

105510001101054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85754 (or 85743 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 24.

Adding to 105510001101054 its reverse (450101100015501), we get a palindrome (555611101116555).

The spelling of 105510001101054 in words is "one hundred five trillion, five hundred ten billion, one million, one hundred one thousand, fifty-four".