101939328 has 96 divisors (see below), whose sum is σ = 296440560. Its totient is φ = 33621504.

The previous prime is 101939303. The next prime is 101939333. The reversal of 101939328 is 823939101.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 101939292 and 101939301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122851 + ... + 123677.

Almost surely, 2^101939328 is an apocalyptic number.

101939328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101939328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148220280).

101939328 is an abundant number, since it is smaller than the sum of its proper divisors (194501232).

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

101939328 is a wasteful number, since it uses less digits than its factorization.

101939328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 101939328 is about 10096.5007799732. The cubic root of 101939328 is about 467.1402140924.

The spelling of 101939328 in words is "one hundred one million, nine hundred thirty-nine thousand, three hundred twenty-eight".