105540625005 has 16 divisors (see below), whose sum is σ = 168870920064. Its totient is φ = 56286360000.

The previous prime is 105540624997. The next prime is 105540625153. The reversal of 105540625005 is 500526045501.

It is not a de Polignac number, because 105540625005 - 2³ = 105540624997 is a prime.

It is a super-2 number, since 2×105540625005² (a number of 23 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386880 + ... + 600630.

It is an arithmetic number, because the mean of its divisors is an integer number (10554432504).

Almost surely, 2^105540625005 is an apocalyptic number.

105540625005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105540625005 is a deficient number, since it is larger than the sum of its proper divisors (63330295059).

105540625005 is a wasteful number, since it uses less digits than its factorization.

105540625005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246676.

The product of its (nonzero) digits is 30000, while the sum is 33.

The spelling of 105540625005 in words is "one hundred five billion, five hundred forty million, six hundred twenty-five thousand, five".