100160628 has 96 divisors (see below), whose sum is σ = 261488640. Its totient is φ = 29704320.

The previous prime is 100160603. The next prime is 100160629. The reversal of 100160628 is 826061001.

It is a junction number, because it is equal to n+sod(n) for n = 100160598 and 100160607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100160629) 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, 261325 + ... + 261707.

It is an arithmetic number, because the mean of its divisors is an integer number (2723840).

Almost surely, 2^100160628 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 100160628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130744320).

100160628 is an abundant number, since it is smaller than the sum of its proper divisors (161328012).

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

100160628 is a wasteful number, since it uses less digits than its factorization.

100160628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 100160628 is about 10008.0281774184. The cubic root of 100160628 is about 464.4072734578.

The spelling of 100160628 in words is "one hundred million, one hundred sixty thousand, six hundred twenty-eight".