102705627 has 8 divisors (see below), whose sum is σ = 137024080. Its totient is φ = 68428800.

The previous prime is 102705623. The next prime is 102705643. The reversal of 102705627 is 726507201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102705627 - 2² = 102705623 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102705594 and 102705603.

It is not an unprimeable number, because it can be changed into a prime (102705623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4102 + ... + 14907.

It is an arithmetic number, because the mean of its divisors is an integer number (17128010).

Almost surely, 2^102705627 is an apocalyptic number.

102705627 is a deficient number, since it is larger than the sum of its proper divisors (34318453).

102705627 is a wasteful number, since it uses less digits than its factorization.

102705627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20813.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 102705627 is about 10134.3784713223. The cubic root of 102705627 is about 468.3078230920.

The spelling of 102705627 in words is "one hundred two million, seven hundred five thousand, six hundred twenty-seven".