105051106056051 has 48 divisors (see below), whose sum is σ = 156125147742720. Its totient is φ = 68040762753600.

The previous prime is 105051106056041. The next prime is 105051106056079. The reversal of 105051106056051 is 150650601150501.

It is a happy number.

It is not a de Polignac number, because 105051106056051 - 2¹¹ = 105051106054003 is a prime.

It is a super-2 number, since 2×105051106056051² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105051106055997 and 105051106056015.

It is not an unprimeable number, because it can be changed into a prime (105051106056011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27545686 + ... + 31126628.

It is an arithmetic number, because the mean of its divisors is an integer number (3252607244640).

Almost surely, 2^{105051106056051} is an apocalyptic number.

105051106056051 is a deficient number, since it is larger than the sum of its proper divisors (51074041686669).

105051106056051 is a wasteful number, since it uses less digits than its factorization.

105051106056051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581656 (or 3581653 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 105051106056051 in words is "one hundred five trillion, fifty-one billion, one hundred six million, fifty-six thousand, fifty-one".