101372768 has 72 divisors (see below), whose sum is σ = 245882952. Its totient is φ = 40879104.

The previous prime is 101372767. The next prime is 101372783. The reversal of 101372768 is 867273101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101372767) 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 11 ways as a sum of consecutive naturals, for example, 24755 + ... + 28557.

It is an arithmetic number, because the mean of its divisors is an integer number (3415041).

Almost surely, 2^101372768 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 101372768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122941476).

101372768 is an abundant number, since it is smaller than the sum of its proper divisors (144510184).

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

101372768 is a wasteful number, since it uses less digits than its factorization.

101372768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 101372768 is about 10068.4044416183. The cubic root of 101372768 is about 466.2731794211.

The spelling of 101372768 in words is "one hundred one million, three hundred seventy-two thousand, seven hundred sixty-eight".