101122304 has 72 divisors (see below), whose sum is σ = 213577560. Its totient is φ = 47710208.

The previous prime is 101122289. The next prime is 101122309. The reversal of 101122304 is 403221101.

It can be written as a sum of positive squares in 4 ways, for example, as 57032704 + 44089600 = 7552^2 + 6640^2 .

It is not an unprimeable number, because it can be changed into a prime (101122309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393344 + ... + 393600.

It is an arithmetic number, because the mean of its divisors is an integer number (2966355).

Almost surely, 2^101122304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106788780).

101122304 is an abundant number, since it is smaller than the sum of its proper divisors (112455256).

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

101122304 is an equidigital number, since it uses as much as digits as its factorization.

101122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 101122304 is about 10055.9586315776. The cubic root of 101122304 is about 465.8888521473. Note that the first 4 decimals are identical.

Adding to 101122304 its reverse (403221101), we get a palindrome (504343405).

The spelling of 101122304 in words is "one hundred one million, one hundred twenty-two thousand, three hundred four".