102984193105 has 32 divisors (see below), whose sum is σ = 128451907584. Its totient is φ = 79210063296.

The previous prime is 102984193097. The next prime is 102984193111. The reversal of 102984193105 is 501391489201.

It is a cyclic number.

It is not a de Polignac number, because 102984193105 - 2³ = 102984193097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

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 31 ways as a sum of consecutive naturals, for example, 3684292 + ... + 3712138.

It is an arithmetic number, because the mean of its divisors is an integer number (4014122112).

Almost surely, 2^102984193105 is an apocalyptic number.

It is an amenable number.

102984193105 is a deficient number, since it is larger than the sum of its proper divisors (25467714479).

102984193105 is a wasteful number, since it uses less digits than its factorization.

102984193105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28165.

The product of its (nonzero) digits is 77760, while the sum is 43.

The spelling of 102984193105 in words is "one hundred two billion, nine hundred eighty-four million, one hundred ninety-three thousand, one hundred five".