105061106060050 has 96 divisors (see below), whose sum is σ = 224124692601600. Its totient is φ = 35892793148160.

The previous prime is 105061106060047. The next prime is 105061106060077. The reversal of 105061106060050 is 50060601160501.

105061106060050 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105061106060050² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105061106059994 and 105061106060021.

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 47 ways as a sum of consecutive naturals, for example, 741263091 + ... + 741404809.

It is an arithmetic number, because the mean of its divisors is an integer number (2334632214600).

Almost surely, 2^{105061106060050} is an apocalyptic number.

105061106060050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105061106060050 is an abundant number, since it is smaller than the sum of its proper divisors (119063586541550).

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

105061106060050 is a wasteful number, since it uses less digits than its factorization.

105061106060050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149260 (or 149255 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 105061106060050 in words is "one hundred five trillion, sixty-one billion, one hundred six million, sixty thousand, fifty".