101002304 has 112 divisors (see below), whose sum is σ = 235933488. Its totient is φ = 42467328.

The previous prime is 101002301. The next prime is 101002351. The reversal of 101002304 is 403200101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 200704 + 100801600 = 448^2 + 10040^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523232 + ... + 523424.

It is an arithmetic number, because the mean of its divisors is an integer number (2106549).

Almost surely, 2^101002304 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 101002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117966744).

101002304 is an abundant number, since it is smaller than the sum of its proper divisors (134931184).

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

101002304 is a wasteful number, since it uses less digits than its factorization.

101002304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 101002304 is about 10049.9902487515. The cubic root of 101002304 is about 465.7044919250.

Adding to 101002304 its reverse (403200101), we get a palindrome (504202405).

The spelling of 101002304 in words is "one hundred one million, two thousand, three hundred four".