106188127245 has 24 divisors (see below), whose sum is σ = 189034002456. Its totient is φ = 55103027328.

The previous prime is 106188127159. The next prime is 106188127247. The reversal of 106188127245 is 542721881601.

106188127245 is a `hidden beast` number, since 1 + 0 + 618 + 8 + 1 + 2 + 7 + 24 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21997042596 + 84191084649 = 148314^2 + 290157^2 .

It is not a de Polignac number, because 106188127245 - 2⁷ = 106188127117 is a prime.

It is a super-3 number, since 3×106188127245³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 106188127245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106188127247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31886662 + ... + 31889991.

It is an arithmetic number, because the mean of its divisors is an integer number (7876416769).

Almost surely, 2^106188127245 is an apocalyptic number.

106188127245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106188127245 is a deficient number, since it is larger than the sum of its proper divisors (82845875211).

106188127245 is a wasteful number, since it uses less digits than its factorization.

106188127245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63776701 (or 63776698 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 106188127245 in words is "one hundred six billion, one hundred eighty-eight million, one hundred twenty-seven thousand, two hundred forty-five".