105505050120 has 32 divisors (see below), whose sum is σ = 316515150720. Its totient is φ = 28134680000.

The previous prime is 105505050109. The next prime is 105505050127. The reversal of 105505050120 is 21050505501.

It is a super-2 number, since 2×105505050120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (105505050127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439604256 + ... + 439604495.

It is an arithmetic number, because the mean of its divisors is an integer number (9891098460).

Almost surely, 2^105505050120 is an apocalyptic number.

105505050120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105505050120 is an abundant number, since it is smaller than the sum of its proper divisors (211010100600).

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

105505050120 is a wasteful number, since it uses less digits than its factorization.

105505050120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879208765 (or 879208761 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 24.

Adding to 105505050120 its reverse (21050505501), we get a palindrome (126555555621).

The spelling of 105505050120 in words is "one hundred five billion, five hundred five million, fifty thousand, one hundred twenty".