105129045050 has 24 divisors (see below), whose sum is σ = 200309296572. Its totient is φ = 41025968000.

The previous prime is 105129045029. The next prime is 105129045061. The reversal of 105129045050 is 50540921501.

It can be written as a sum of positive squares in 6 ways, for example, as 25378720249 + 79750324801 = 159307^2 + 282401^2 .

It is a super-2 number, since 2×105129045050² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105129044998 and 105129045016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25639181 + ... + 25643280.

Almost surely, 2^105129045050 is an apocalyptic number.

105129045050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105129045050 is a deficient number, since it is larger than the sum of its proper divisors (95180251522).

105129045050 is a wasteful number, since it uses less digits than its factorization.

105129045050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51282514 (or 51282509 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 32.

Adding to 105129045050 its reverse (50540921501), we get a palindrome (155669966551).

The spelling of 105129045050 in words is "one hundred five billion, one hundred twenty-nine million, forty-five thousand, fifty".