102018827745 has 12 divisors (see below), whose sum is σ = 176832634836. Its totient is φ = 54410041440.

The previous prime is 102018827741. The next prime is 102018827747. The reversal of 102018827745 is 547728810201.

It can be written as a sum of positive squares in 2 ways, for example, as 46320939729 + 55697888016 = 215223^2 + 236004^2 .

It is not a de Polignac number, because 102018827745 - 2² = 102018827741 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2267085061 = 102018827745 / (1 + 0 + 2 + 0 + 1 + 8 + 8 + 2 + 7 + 7 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 102018827745.

It is not an unprimeable number, because it can be changed into a prime (102018827741) by changing a digit.

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, 1133542486 + ... + 1133542575.

It is an arithmetic number, because the mean of its divisors is an integer number (14736052903).

Almost surely, 2^102018827745 is an apocalyptic number.

102018827745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102018827745 is a deficient number, since it is larger than the sum of its proper divisors (74813807091).

102018827745 is a wasteful number, since it uses less digits than its factorization.

102018827745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267085072 (or 2267085069 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 102018827745 in words is "one hundred two billion, eighteen million, eight hundred twenty-seven thousand, seven hundred forty-five".