102757620089 has 12 divisors (see below), whose sum is σ = 105629360940. Its totient is φ = 99936946560.

The previous prime is 102757620083. The next prime is 102757620103. The reversal of 102757620089 is 980026757201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 51175488400 + 51582131689 = 226220^2 + 227117^2 .

It is not a de Polignac number, because 102757620089 - 2¹² = 102757615993 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102757620083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376847 + ... + 589515.

It is an arithmetic number, because the mean of its divisors is an integer number (8802446745).

Almost surely, 2^102757620089 is an apocalyptic number.

It is an amenable number.

102757620089 is a deficient number, since it is larger than the sum of its proper divisors (2871740851).

102757620089 is an frugal number, since it uses more digits than its factorization.

102757620089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212908 (or 212819 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 47.

The spelling of 102757620089 in words is "one hundred two billion, seven hundred fifty-seven million, six hundred twenty thousand, eighty-nine".