105042421220 has 96 divisors (see below), whose sum is σ = 244786582656. Its totient is φ = 37544192000.

The previous prime is 105042421219. The next prime is 105042421243. The reversal of 105042421220 is 22124240501.

It is a super-2 number, since 2×105042421220² (a number of 23 digits) contains 22 as substring.

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, 3582620 + ... + 3611820.

It is an arithmetic number, because the mean of its divisors is an integer number (2549860236).

Almost surely, 2^105042421220 is an apocalyptic number.

105042421220 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 105042421220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122393291328).

105042421220 is an abundant number, since it is smaller than the sum of its proper divisors (139744161436).

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

105042421220 is a wasteful number, since it uses less digits than its factorization.

105042421220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29501 (or 29499 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 105042421220 its reverse (22124240501), we get a palindrome (127166661721).

The spelling of 105042421220 in words is "one hundred five billion, forty-two million, four hundred twenty-one thousand, two hundred twenty".