10506110600050 has 48 divisors (see below), whose sum is σ = 21723404113152. Its totient is φ = 3754044475200.

The previous prime is 10506110600023. The next prime is 10506110600053. The reversal of 10506110600050 is 5000601160501.

10506110600050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10506110600050² (a number of 27 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 = 10506110599988 and 10506110600024.

It is not an unprimeable number, because it can be changed into a prime (10506110600053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260677384 + ... + 260717683.

It is an arithmetic number, because the mean of its divisors is an integer number (452570919024).

Almost surely, 2^{10506110600050} is an apocalyptic number.

10506110600050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10506110600050 is an abundant number, since it is smaller than the sum of its proper divisors (11217293513102).

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

10506110600050 is a wasteful number, since it uses less digits than its factorization.

10506110600050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521395123 (or 521395118 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 10506110600050 its reverse (5000601160501), we get a palindrome (15506711760551).

The spelling of 10506110600050 in words is "ten trillion, five hundred six billion, one hundred ten million, six hundred thousand, fifty".