101305728 has 96 divisors (see below), whose sum is σ = 302407560. Its totient is φ = 33758208.

The previous prime is 101305723. The next prime is 101305751. The reversal of 101305728 is 827503101.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101305723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29476 + ... + 32732.

Almost surely, 2^101305728 is an apocalyptic number.

101305728 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 101305728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151203780).

101305728 is an abundant number, since it is smaller than the sum of its proper divisors (201101832).

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

101305728 is an frugal number, since it uses more digits than its factorization.

101305728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 101305728 is about 10065.0746644026. The cubic root of 101305728 is about 466.1703712480.

Adding to 101305728 its reverse (827503101), we get a palindrome (928808829).

The spelling of 101305728 in words is "one hundred one million, three hundred five thousand, seven hundred twenty-eight".