105061105600061 has 64 divisors (see below), whose sum is σ = 117379342080000. Its totient is φ = 93437692508160.

The previous prime is 105061105600051. The next prime is 105061105600111. The reversal of 105061105600061 is 160006501160501.

It is not a de Polignac number, because 105061105600061 - 2¹⁴ = 105061105583677 is a prime.

It is a super-2 number, since 2×105061105600061² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105061105600051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8051269865 + ... + 8051282913.

It is an arithmetic number, because the mean of its divisors is an integer number (1834052220000).

Almost surely, 2^{105061105600061} is an apocalyptic number.

It is an amenable number.

105061105600061 is a deficient number, since it is larger than the sum of its proper divisors (12318236479939).

105061105600061 is a wasteful number, since it uses less digits than its factorization.

105061105600061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14334.

The product of its (nonzero) digits is 5400, while the sum is 32.

Adding to 105061105600061 its reverse (160006501160501), we get a palindrome (265067606760562).

The spelling of 105061105600061 in words is "one hundred five trillion, sixty-one billion, one hundred five million, six hundred thousand, sixty-one".