105540624045 has 12 divisors (see below), whose sum is σ = 182937081756. Its totient is φ = 56288332800.

The previous prime is 105540623959. The next prime is 105540624097. The reversal of 105540624045 is 540426045501.

105540624045 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 406 + 240 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37547975529 + 67992648516 = 193773^2 + 260754^2 .

It is not a de Polignac number, because 105540624045 - 2¹⁶ = 105540558509 is a prime.

It is a super-2 number, since 2×105540624045² (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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1172673556 + ... + 1172673645.

It is an arithmetic number, because the mean of its divisors is an integer number (15244756813).

Almost surely, 2^105540624045 is an apocalyptic number.

105540624045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105540624045 is a deficient number, since it is larger than the sum of its proper divisors (77396457711).

105540624045 is a wasteful number, since it uses less digits than its factorization.

105540624045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345347212 (or 2345347209 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 105540624045 its reverse (540426045501), we get a palindrome (645966669546).

The spelling of 105540624045 in words is "one hundred five billion, five hundred forty million, six hundred twenty-four thousand, forty-five".