101220768 has 144 divisors (see below), whose sum is σ = 318427200. Its totient is φ = 30243840.

The previous prime is 101220727. The next prime is 101220799. The reversal of 101220768 is 867022101.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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, 281773 + ... + 282131.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^101220768 is an apocalyptic number.

101220768 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 101220768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159213600).

101220768 is an abundant number, since it is smaller than the sum of its proper divisors (217206432).

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

101220768 is a wasteful number, since it uses less digits than its factorization.

101220768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 101220768 is about 10060.8532441339. The cubic root of 101220768 is about 466.0400169482.

Adding to 101220768 its reverse (867022101), we get a palindrome (968242869).

The spelling of 101220768 in words is "one hundred one million, two hundred twenty thousand, seven hundred sixty-eight".