102677132477705 has 16 divisors (see below), whose sum is σ = 123310861639680. Its totient is φ = 82076172931008.

The previous prime is 102677132477627. The next prime is 102677132477741. The reversal of 102677132477705 is 507774231776201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102677132477705 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 698919239 + ... + 699066131.

It is an arithmetic number, because the mean of its divisors is an integer number (7706928852480).

Almost surely, 2^{102677132477705} is an apocalyptic number.

It is an amenable number.

102677132477705 is a deficient number, since it is larger than the sum of its proper divisors (20633729161975).

102677132477705 is a wasteful number, since it uses less digits than its factorization.

102677132477705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257480.

The product of its (nonzero) digits is 24202080, while the sum is 59.

The spelling of 102677132477705 in words is "one hundred two trillion, six hundred seventy-seven billion, one hundred thirty-two million, four hundred seventy-seven thousand, seven hundred five".