106507124505 has 16 divisors (see below), whose sum is σ = 189345999360. Its totient is φ = 56803799664.

The previous prime is 106507124491. The next prime is 106507124567. The reversal of 106507124505 is 505421705601.

106507124505 is a `hidden beast` number, since 1 + 0 + 65 + 0 + 71 + 24 + 505 = 666.

It is not a de Polignac number, because 106507124505 - 2¹⁶ = 106507058969 is a prime.

It is a super-2 number, since 2×106507124505² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106507124505.

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 15 ways as a sum of consecutive naturals, for example, 394470697 + ... + 394470966.

It is an arithmetic number, because the mean of its divisors is an integer number (11834124960).

Almost surely, 2^106507124505 is an apocalyptic number.

106507124505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106507124505 is a deficient number, since it is larger than the sum of its proper divisors (82838874855).

106507124505 is an equidigital number, since it uses as much as digits as its factorization.

106507124505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788941677 (or 788941671 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 106507124505 in words is "one hundred six billion, five hundred seven million, one hundred twenty-four thousand, five hundred five".