101920728 has 128 divisors (see below), whose sum is σ = 327398400. Its totient is φ = 25698816.

The previous prime is 101920727. The next prime is 101920733. The reversal of 101920728 is 827029101.

It is a junction number, because it is equal to n+sod(n) for n = 101920695 and 101920704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101920727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49218 + ... + 51246.

It is an arithmetic number, because the mean of its divisors is an integer number (2557800).

Almost surely, 2^101920728 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 101920728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163699200).

101920728 is an abundant number, since it is smaller than the sum of its proper divisors (225477672).

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

101920728 is a wasteful number, since it uses less digits than its factorization.

101920728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 101920728 is about 10095.5796267475. The cubic root of 101920728 is about 467.1118006669. Note that the first 3 decimals are identical.

Adding to 101920728 its reverse (827029101), we get a palindrome (928949829).

The spelling of 101920728 in words is "one hundred one million, nine hundred twenty thousand, seven hundred twenty-eight".