105505112120025 has 24 divisors (see below), whose sum is σ = 178146504215424. Its totient is φ = 55072171998400.

The previous prime is 105505112119999. The next prime is 105505112120033. The reversal of 105505112120025 is 520021211505501.

It is not a de Polignac number, because 105505112120025 - 2³⁰ = 105504038378201 is a prime.

It is a super-2 number, since 2×105505112120025² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105505112119974 and 105505112120001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14965260606 + ... + 14965267655.

It is an arithmetic number, because the mean of its divisors is an integer number (7422771008976).

Almost surely, 2^{105505112120025} is an apocalyptic number.

105505112120025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105505112120025 is a deficient number, since it is larger than the sum of its proper divisors (72641392095399).

105505112120025 is a wasteful number, since it uses less digits than its factorization.

105505112120025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29930528321 (or 29930528316 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 30.

Adding to 105505112120025 its reverse (520021211505501), we get a palindrome (625526323625526).

The spelling of 105505112120025 in words is "one hundred five trillion, five hundred five billion, one hundred twelve million, one hundred twenty thousand, twenty-five".