100345728 has 96 divisors (see below), whose sum is σ = 310118760. Its totient is φ = 28664832.

The previous prime is 100345723. The next prime is 100345733. The reversal of 100345728 is 827543001.

It is an interprime number because it is at equal distance from previous prime (100345723) and next prime (100345733).

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

It is a junction number, because it is equal to n+sod(n) for n = 100345695 and 100345704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100345723) 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, 16150 + ... + 21482.

Almost surely, 2^100345728 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 100345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155059380).

100345728 is an abundant number, since it is smaller than the sum of its proper divisors (209773032).

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

100345728 is an equidigital number, since it uses as much as digits as its factorization.

100345728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5364 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 100345728 is about 10017.2714847907. The cubic root of 100345728 is about 464.6931771738.

Adding to 100345728 its reverse (827543001), we get a palindrome (927888729).

The spelling of 100345728 in words is "one hundred million, three hundred forty-five thousand, seven hundred twenty-eight".