102745738305 has 160 divisors (see below), whose sum is σ = 218176358400. Its totient is φ = 45267517440.

The previous prime is 102745738301. The next prime is 102745738309. The reversal of 102745738305 is 503837547201.

102745738305 is a `hidden beast` number, since 1 + 0 + 2 + 74 + 573 + 8 + 3 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (102745738301) and next prime (102745738309).

It is not a de Polignac number, because 102745738305 - 2² = 102745738301 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102745738301) 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 159 ways as a sum of consecutive naturals, for example, 22584171 + ... + 22588719.

It is an arithmetic number, because the mean of its divisors is an integer number (1363602240).

Almost surely, 2^102745738305 is an apocalyptic number.

102745738305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102745738305 is an abundant number, since it is smaller than the sum of its proper divisors (115430620095).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102745738305 is a wasteful number, since it uses less digits than its factorization.

102745738305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4861 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 102745738305 in words is "one hundred two billion, seven hundred forty-five million, seven hundred thirty-eight thousand, three hundred five".