105505111100050 has 24 divisors (see below), whose sum is σ = 196279646087700. Its totient is φ = 42193412302080.

The previous prime is 105505111099991. The next prime is 105505111100087. The reversal of 105505111100050 is 50001111505501.

It can be written as a sum of positive squares in 6 ways, for example, as 85620655378449 + 19884455721601 = 9253143^2 + 4459199^2 .

It is a super-2 number, since 2×105505111100050² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a junction number, because it is equal to n+sod(n) for n = 105505111099988 and 105505111100024.

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, 215556555 + ... + 216045454.

Almost surely, 2^{105505111100050} is an apocalyptic number.

105505111100050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105505111100050 is a deficient number, since it is larger than the sum of its proper divisors (90774534987650).

105505111100050 is a wasteful number, since it uses less digits than its factorization.

105505111100050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431606910 (or 431606905 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 25.

Adding to 105505111100050 its reverse (50001111505501), we get a palindrome (155506222605551).

The spelling of 105505111100050 in words is "one hundred five trillion, five hundred five billion, one hundred eleven million, one hundred thousand, fifty".