10605006106050 has 48 divisors (see below), whose sum is σ = 27011237188032. Its totient is φ = 2751569150400.

The previous prime is 10605006106021. The next prime is 10605006106091. The reversal of 10605006106050 is 5060160050601.

It is a super-2 number, since 2×10605006106050² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10605006105999 and 10605006106017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 955400406 + ... + 955411505.

It is an arithmetic number, because the mean of its divisors is an integer number (562734108084).

Almost surely, 2^{10605006106050} is an apocalyptic number.

10605006106050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10605006106050 is an abundant number, since it is smaller than the sum of its proper divisors (16406231081982).

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

10605006106050 is a wasteful number, since it uses less digits than its factorization.

10605006106050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910811963 (or 1910811958 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 10605006106050 its reverse (5060160050601), we get a palindrome (15665166156651).

The spelling of 10605006106050 in words is "ten trillion, six hundred five billion, six million, one hundred six thousand, fifty".