101728816 has 120 divisors (see below), whose sum is σ = 251796384. Its totient is φ = 38860800.

The previous prime is 101728813. The next prime is 101728819. The reversal of 101728816 is 618827101.

It is an interprime number because it is at equal distance from previous prime (101728813) and next prime (101728819).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (101728811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1007166 + ... + 1007266.

Almost surely, 2^101728816 is an apocalyptic number.

101728816 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 101728816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125898192).

101728816 is an abundant number, since it is smaller than the sum of its proper divisors (150067568).

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

101728816 is a wasteful number, since it uses less digits than its factorization.

101728816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 34.

The square root of 101728816 is about 10086.0703943607. The cubic root of 101728816 is about 466.8184331777.

The spelling of 101728816 in words is "one hundred one million, seven hundred twenty-eight thousand, eight hundred sixteen".