101006675 has 48 divisors (see below), whose sum is σ = 157704192. Its totient is φ = 62342400.

The previous prime is 101006671. The next prime is 101006701. The reversal of 101006675 is 576600101.

It is not a de Polignac number, because 101006675 - 2² = 101006671 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101006671) 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 47 ways as a sum of consecutive naturals, for example, 263534 + ... + 263916.

It is an arithmetic number, because the mean of its divisors is an integer number (3285504).

Almost surely, 2^101006675 is an apocalyptic number.

101006675 is a deficient number, since it is larger than the sum of its proper divisors (56697517).

101006675 is a wasteful number, since it uses less digits than its factorization.

101006675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 101006675 is about 10050.2077092964. The cubic root of 101006675 is about 465.7112098080.

Adding to 101006675 its reverse (576600101), we get a palindrome (677606776).

The spelling of 101006675 in words is "one hundred one million, six thousand, six hundred seventy-five".