101928384 has 84 divisors (see below), whose sum is σ = 293613840. Its totient is φ = 33807360.

The previous prime is 101928371. The next prime is 101928401. The reversal of 101928384 is 483829101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 178852 + ... + 179420.

Almost surely, 2^101928384 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 101928384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146806920).

101928384 is an abundant number, since it is smaller than the sum of its proper divisors (191685456).

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

101928384 is a wasteful number, since it uses less digits than its factorization.

101928384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 101928384 is about 10095.9587954785. The cubic root of 101928384 is about 467.1234964181.

It can be divided in two parts, 1019 and 28384, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 101928384 in words is "one hundred one million, nine hundred twenty-eight thousand, three hundred eighty-four".