105122085124 has 72 divisors (see below), whose sum is σ = 223090156800. Its totient is φ = 43167096000.

The previous prime is 105122085067. The next prime is 105122085127. The reversal of 105122085124 is 421580221501.

It is a super-2 number, since 2×105122085124² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (105122085127) 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 23 ways as a sum of consecutive naturals, for example, 528027 + ... + 699325.

It is an arithmetic number, because the mean of its divisors is an integer number (3098474400).

Almost surely, 2^105122085124 is an apocalyptic number.

105122085124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105122085124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111545078400).

105122085124 is an abundant number, since it is smaller than the sum of its proper divisors (117968071676).

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

105122085124 is a wasteful number, since it uses less digits than its factorization.

105122085124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171449 (or 171440 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The spelling of 105122085124 in words is "one hundred five billion, one hundred twenty-two million, eighty-five thousand, one hundred twenty-four".