102667205745 has 48 divisors (see below), whose sum is σ = 191701665792. Its totient is φ = 50529029760.

The previous prime is 102667205743. The next prime is 102667205777. The reversal of 102667205745 is 547502766201.

102667205745 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 6 + 72 + 0 + 574 + 5 = 666.

It is not a de Polignac number, because 102667205745 - 2¹ = 102667205743 is a prime.

It is a super-4 number, since 4×102667205745⁴ (a number of 45 digits) contains 4444 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 102667205745.

It is not an unprimeable number, because it can be changed into a prime (102667205743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2123632 + ... + 2171438.

It is an arithmetic number, because the mean of its divisors is an integer number (3993784704).

Almost surely, 2^102667205745 is an apocalyptic number.

102667205745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102667205745 is a deficient number, since it is larger than the sum of its proper divisors (89034460047).

102667205745 is a wasteful number, since it uses less digits than its factorization.

102667205745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51502 (or 51499 counting only the distinct ones).

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

The spelling of 102667205745 in words is "one hundred two billion, six hundred sixty-seven million, two hundred five thousand, seven hundred forty-five".