101616768 has 216 divisors, whose sum is σ = 333757515. Its totient is φ = 30792960.

The previous prime is 101616761. The next prime is 101616787. The reversal of 101616768 is 867616101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 50808384 + 50808384 = 7128^2 + 7128^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7128.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101616761) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9237883 + ... + 9237893.

Almost surely, 2^101616768 is an apocalyptic number.

101616768 is a gapful number since it is divisible by the number (18) 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 101616768

101616768 is an abundant number, since it is smaller than the sum of its proper divisors (232140747).

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

101616768 is an frugal number, since it uses more digits than its factorization.

101616768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 101616768 is about 10080.5142725954. The cubic root of 101616768 is about 466.6469796684.

The spelling of 101616768 in words is "one hundred one million, six hundred sixteen thousand, seven hundred sixty-eight".