102740737693 has 32 divisors (see below), whose sum is σ = 119679897600. Its totient is φ = 87213672000.

The previous prime is 102740737663. The next prime is 102740737717. The reversal of 102740737693 is 396737047201.

It is a cyclic number.

It is not a de Polignac number, because 102740737693 - 2⁵ = 102740737661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102740737613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10116168 + ... + 10126318.

It is an arithmetic number, because the mean of its divisors is an integer number (3739996800).

Almost surely, 2^102740737693 is an apocalyptic number.

It is an amenable number.

102740737693 is a deficient number, since it is larger than the sum of its proper divisors (16939159907).

102740737693 is a wasteful number, since it uses less digits than its factorization.

102740737693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10873.

The product of its (nonzero) digits is 1333584, while the sum is 49.

The spelling of 102740737693 in words is "one hundred two billion, seven hundred forty million, seven hundred thirty-seven thousand, six hundred ninety-three".