105055511001030 has 64 divisors (see below), whose sum is σ = 280614166257600. Its totient is φ = 27968189241600.

The previous prime is 105055511001011. The next prime is 105055511001079. The reversal of 105055511001030 is 30100115550501.

105055511001030 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 551 + 1 + 0 + 0 + 103 + 0 = 666.

105055511001030 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×105055511001030³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105055511000985 and 105055511001003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323543625 + ... + 323868164.

It is an arithmetic number, because the mean of its divisors is an integer number (4384596347775).

Almost surely, 2^{105055511001030} is an apocalyptic number.

105055511001030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105055511001030 is an abundant number, since it is smaller than the sum of its proper divisors (175558655256570).

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

105055511001030 is a wasteful number, since it uses less digits than its factorization.

105055511001030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647412406 (or 647412400 counting only the distinct ones).

The product of its (nonzero) digits is 1875, while the sum is 27.

Adding to 105055511001030 its reverse (30100115550501), we get a palindrome (135155626551531).

The spelling of 105055511001030 in words is "one hundred five trillion, fifty-five billion, five hundred eleven million, one thousand, thirty".