105412120 has 64 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 37956480.

The previous prime is 105412103. The next prime is 105412127. The reversal of 105412120 is 21214501.

It is a super-2 number, since 2×105412120² = 22223430085788800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105412094 and 105412103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105412127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45961 + ... + 48199.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2^105412120 is an apocalyptic number.

105412120 is a gapful number since it is divisible by the number (10) 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 105412120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

105412120 is an abundant number, since it is smaller than the sum of its proper divisors (155861480).

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

105412120 is a wasteful number, since it uses less digits than its factorization.

105412120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 105412120 is about 10267.0404693855. The cubic root of 105412120 is about 472.3858164035.

Adding to 105412120 its reverse (21214501), we get a palindrome (126626621).

The spelling of 105412120 in words is "one hundred five million, four hundred twelve thousand, one hundred twenty".