100823616 has 98 divisors (see below), whose sum is σ = 300109382. Its totient is φ = 33592320.

The previous prime is 100823599. The next prime is 100823623. The reversal of 100823616 is 616328001.

It can be written as a sum of positive squares in only one way, i.e., 90326016 + 10497600 = 9504^2 + 3240^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 100823616.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45576 + ... + 47736.

Almost surely, 2^100823616 is an apocalyptic number.

100823616 is a gapful number since it is divisible by the number (16) 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 100823616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150054691).

100823616 is an abundant number, since it is smaller than the sum of its proper divisors (199285766).

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

100823616 is an frugal number, since it uses more digits than its factorization.

100823616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 100823616 is about 10041.0963544824. The cubic root of 100823616 is about 465.4296964569.

The spelling of 100823616 in words is "one hundred million, eight hundred twenty-three thousand, six hundred sixteen".