101066752 has 48 divisors (see below), whose sum is σ = 205650900. Its totient is φ = 49643520.

The previous prime is 101066747. The next prime is 101066767. The reversal of 101066752 is 257660101.

It can be written as a sum of positive squares in 2 ways, for example, as 100320256 + 746496 = 10016^2 + 864^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101066752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124524 + ... + 125332.

Almost surely, 2^101066752 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 101066752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102825450).

101066752 is an abundant number, since it is smaller than the sum of its proper divisors (104584148).

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

101066752 is an frugal number, since it uses more digits than its factorization.

101066752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 101066752 is about 10053.1961087010. The cubic root of 101066752 is about 465.8035237966.

The spelling of 101066752 in words is "one hundred one million, sixty-six thousand, seven hundred fifty-two".