105505112120030 has 24 divisors (see below), whose sum is σ = 220914785787048. Its totient is φ = 36173181298128.

The previous prime is 105505112119999. The next prime is 105505112120033. The reversal of 105505112120030 is 30021211505501.

It is a super-2 number, since 2×105505112120030² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505112120033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107658277184 + ... + 107658278163.

It is an arithmetic number, because the mean of its divisors is an integer number (9204782741127).

Almost surely, 2^{105505112120030} is an apocalyptic number.

105505112120030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105505112120030 is an abundant number, since it is smaller than the sum of its proper divisors (115409673667018).

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

105505112120030 is a wasteful number, since it uses less digits than its factorization.

105505112120030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215316555368 (or 215316555361 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 26.

Adding to 105505112120030 its reverse (30021211505501), we get a palindrome (135526323625531).

The spelling of 105505112120030 in words is "one hundred five trillion, five hundred five billion, one hundred twelve million, one hundred twenty thousand, thirty".