101318672 has 60 divisors (see below), whose sum is σ = 245945196. Its totient is φ = 40078080.

The previous prime is 101318647. The next prime is 101318677. The reversal of 101318672 is 276813101.

It can be written as a sum of positive squares in 2 ways, for example, as 4177936 + 97140736 = 2044^2 + 9856^2 .

It is not an unprimeable number, because it can be changed into a prime (101318677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5222 + ... + 15162.

Almost surely, 2^101318672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101318672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122972598).

101318672 is an abundant number, since it is smaller than the sum of its proper divisors (144626524).

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

101318672 is a wasteful number, since it uses less digits than its factorization.

101318672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9976 (or 9963 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 101318672 is about 10065.7176594617. The cubic root of 101318672 is about 466.1902248549.

The spelling of 101318672 in words is "one hundred one million, three hundred eighteen thousand, six hundred seventy-two".