101730816 has 200 divisors, whose sum is σ = 332728704. Its totient is φ = 30689280.

The previous prime is 101730779. The next prime is 101730821. The reversal of 101730816 is 618037101.

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 101730816.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 456081 + ... + 456303.

Almost surely, 2^101730816 is an apocalyptic number.

101730816 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 101730816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166364352).

101730816 is an abundant number, since it is smaller than the sum of its proper divisors (230997888).

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

101730816 is an equidigital number, since it uses as much as digits as its factorization.

101730816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 101730816 is about 10086.1695405144. The cubic root of 101730816 is about 466.8214923921.

Adding to 101730816 its reverse (618037101), we get a palindrome (719767917).

The spelling of 101730816 in words is "one hundred one million, seven hundred thirty thousand, eight hundred sixteen".