102577672653 has 16 divisors (see below), whose sum is σ = 146035760640. Its totient is φ = 63890641584.

The previous prime is 102577672643. The next prime is 102577672661. The reversal of 102577672653 is 356276775201.

It is not a de Polignac number, because 102577672653 - 2¹⁰ = 102577671629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102577672596 and 102577672605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102577672633) 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 15 ways as a sum of consecutive naturals, for example, 17283463 + ... + 17289396.

It is an arithmetic number, because the mean of its divisors is an integer number (9127235040).

Almost surely, 2^102577672653 is an apocalyptic number.

It is an amenable number.

102577672653 is a deficient number, since it is larger than the sum of its proper divisors (43458087987).

102577672653 is a wasteful number, since it uses less digits than its factorization.

102577672653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34572928.

The product of its (nonzero) digits is 3704400, while the sum is 51.

The spelling of 102577672653 in words is "one hundred two billion, five hundred seventy-seven million, six hundred seventy-two thousand, six hundred fifty-three".