105122245120 has 80 divisors (see below), whose sum is σ = 258859322568. Its totient is φ = 40912404480.

The previous prime is 105122245091. The next prime is 105122245147. The reversal of 105122245120 is 21542221501.

It can be written as a sum of positive squares in 4 ways, for example, as 98978193664 + 6144051456 = 314608^2 + 78384^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105122245120² (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 7 ways as a sum of consecutive naturals, for example, 460191 + ... + 649630.

Almost surely, 2^105122245120 is an apocalyptic number.

105122245120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105122245120 is an abundant number, since it is smaller than the sum of its proper divisors (153737077448).

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

105122245120 is an equidigital number, since it uses as much as digits as its factorization.

105122245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109881 (or 1109865 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 105122245120 its reverse (21542221501), we get a palindrome (126664466621).

The spelling of 105122245120 in words is "one hundred five billion, one hundred twenty-two million, two hundred forty-five thousand, one hundred twenty".