105020121210 has 64 divisors (see below), whose sum is σ = 260979667200. Its totient is φ = 27014769152.

The previous prime is 105020121169. The next prime is 105020121229. The reversal of 105020121210 is 12121020501.

It is a super-2 number, since 2×105020121210² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105020121210.

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, 899371 + ... + 1009409.

It is an arithmetic number, because the mean of its divisors is an integer number (4077807300).

Almost surely, 2^105020121210 is an apocalyptic number.

105020121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105020121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130489833600).

105020121210 is an abundant number, since it is smaller than the sum of its proper divisors (155959545990).

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

105020121210 is a wasteful number, since it uses less digits than its factorization.

105020121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111175.

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 105020121210 its reverse (12121020501), we get a palindrome (117141141711).

The spelling of 105020121210 in words is "one hundred five billion, twenty million, one hundred twenty-one thousand, two hundred ten".