101166627 has 8 divisors (see below), whose sum is σ = 140753664. Its totient is φ = 64512008.

The previous prime is 101166613. The next prime is 101166629. The reversal of 101166627 is 726661101.

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

It is a cyclic number.

It is not a de Polignac number, because 101166627 - 2¹¹ = 101164579 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101166594 and 101166603.

It is not an unprimeable number, because it can be changed into a prime (101166629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 733023 + ... + 733160.

It is an arithmetic number, because the mean of its divisors is an integer number (17594208).

Almost surely, 2^101166627 is an apocalyptic number.

101166627 is a deficient number, since it is larger than the sum of its proper divisors (39587037).

101166627 is a wasteful number, since it uses less digits than its factorization.

101166627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466209.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 101166627 is about 10058.1622078787. The cubic root of 101166627 is about 465.9569102464.

The spelling of 101166627 in words is "one hundred one million, one hundred sixty-six thousand, six hundred twenty-seven".