101006672 has 20 divisors (see below), whose sum is σ = 210754740. Its totient is φ = 46618368.

The previous prime is 101006671. The next prime is 101006701. The reversal of 101006672 is 276600101.

It can be written as a sum of positive squares in 2 ways, for example, as 51782416 + 49224256 = 7196^2 + 7016^2 .

It is a congruent 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 242597 + ... + 243012.

It is an arithmetic number, because the mean of its divisors is an integer number (10537737).

Almost surely, 2^101006672 is an apocalyptic number.

It is an amenable number.

101006672 is an abundant number, since it is smaller than the sum of its proper divisors (109748068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101006672 is a wasteful number, since it uses less digits than its factorization.

101006672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485630 (or 485624 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 101006672 is about 10050.2075600457. The cubic root of 101006672 is about 465.7112051973.

Adding to 101006672 its reverse (276600101), we get a palindrome (377606773).

The spelling of 101006672 in words is "one hundred one million, six thousand, six hundred seventy-two".