105060601061055 has 48 divisors (see below), whose sum is σ = 182264974295040. Its totient is φ = 55983124914624.

The previous prime is 105060601061011. The next prime is 105060601061063. The reversal of 105060601061055 is 550160106060501.

It is not a de Polignac number, because 105060601061055 - 2⁷ = 105060601060927 is a prime.

It is a super-2 number, since 2×105060601061055² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360086242 + ... + 360377888.

It is an arithmetic number, because the mean of its divisors is an integer number (3797186964480).

Almost surely, 2^{105060601061055} is an apocalyptic number.

105060601061055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105060601061055 is a deficient number, since it is larger than the sum of its proper divisors (77204373233985).

105060601061055 is a wasteful number, since it uses less digits than its factorization.

105060601061055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298660 (or 298657 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 105060601061055 in words is "one hundred five trillion, sixty billion, six hundred one million, sixty-one thousand, fifty-five".