102152676627 has 24 divisors (see below), whose sum is σ = 148074517344. Its totient is φ = 67861632384.

The previous prime is 102152676607. The next prime is 102152676631. The reversal of 102152676627 is 726676251201.

102152676627 is a `hidden beast` number, since 1 + 0 + 2 + 15 + 2 + 6 + 7 + 6 + 627 = 666.

It is not a de Polignac number, because 102152676627 - 2³¹ = 100005192979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102152676607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16101618 + ... + 16107960.

It is an arithmetic number, because the mean of its divisors is an integer number (6169771556).

Almost surely, 2^102152676627 is an apocalyptic number.

102152676627 is a deficient number, since it is larger than the sum of its proper divisors (45921840717).

102152676627 is a wasteful number, since it uses less digits than its factorization.

102152676627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12379 (or 12376 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 102152676627 in words is "one hundred two billion, one hundred fifty-two million, six hundred seventy-six thousand, six hundred twenty-seven".