101116320 has 48 divisors (see below), whose sum is σ = 318517920. Its totient is φ = 26964224.

The previous prime is 101116319. The next prime is 101116331. The reversal of 101116320 is 23611101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101116320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104850 + ... + 105809.

It is an arithmetic number, because the mean of its divisors is an integer number (6635790).

Almost surely, 2^101116320 is an apocalyptic number.

101116320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101116320 is an abundant number, since it is smaller than the sum of its proper divisors (217401600).

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

101116320 is a wasteful number, since it uses less digits than its factorization.

101116320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210677 (or 210669 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 101116320 is about 10055.6610921411. The cubic root of 101116320 is about 465.8796621738.

Adding to 101116320 its reverse (23611101), we get a palindrome (124727421).

The spelling of 101116320 in words is "one hundred one million, one hundred sixteen thousand, three hundred twenty".