105106061061063 has 48 divisors (see below), whose sum is σ = 155027127119904. Its totient is φ = 68606290621440.

The previous prime is 105106061061061. The next prime is 105106061061107. The reversal of 105106061061063 is 360160160601501.

105106061061063 is a `hidden beast` number, since 1 + 0 + 510 + 60 + 6 + 10 + 6 + 10 + 63 = 666.

It is not a de Polignac number, because 105106061061063 - 2¹ = 105106061061061 is a prime.

It is a super-2 number, since 2×105106061061063² (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 (105106061061061) 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, 49632645 + ... + 51706977.

It is an arithmetic number, because the mean of its divisors is an integer number (3229731814998).

Almost surely, 2^{105106061061063} is an apocalyptic number.

105106061061063 is a deficient number, since it is larger than the sum of its proper divisors (49921066058841).

105106061061063 is a wasteful number, since it uses less digits than its factorization.

105106061061063 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074976 (or 2074973 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 105106061061063 in words is "one hundred five trillion, one hundred six billion, sixty-one million, sixty-one thousand, sixty-three".