101187328 has 36 divisors (see below), whose sum is σ = 220347288. Its totient is φ = 45992960.

The previous prime is 101187323. The next prime is 101187329. The reversal of 101187328 is 823781101.

It is a happy number.

It is a super-3 number, since 3×101187328³ (a number of 25 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 101187328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101187323) 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 3 ways as a sum of consecutive naturals, for example, 15151 + ... + 20782.

It is an arithmetic number, because the mean of its divisors is an integer number (6120758).

Almost surely, 2^101187328 is an apocalyptic number.

It is an amenable number.

101187328 is an abundant number, since it is smaller than the sum of its proper divisors (119159960).

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

101187328 is an equidigital number, since it uses as much as digits as its factorization.

101187328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35960 (or 35946 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 101187328 is about 10059.1912199739. The cubic root of 101187328 is about 465.9886898837.

The spelling of 101187328 in words is "one hundred one million, one hundred eighty-seven thousand, three hundred twenty-eight".