101004224 has 56 divisors (see below), whose sum is σ = 212872320. Its totient is φ = 47446784.

The previous prime is 101004221. The next prime is 101004229. The reversal of 101004224 is 422400101.

It is a junction number, because it is equal to n+sod(n) for n = 101004199 and 101004208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101004221) 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, 86267 + ... + 87429.

Almost surely, 2^101004224 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 101004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106436160).

101004224 is an abundant number, since it is smaller than the sum of its proper divisors (111868096).

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

101004224 is a wasteful number, since it uses less digits than its factorization.

101004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 101004224 is about 10050.0857707783. The cubic root of 101004224 is about 465.7074428378.

Adding to 101004224 its reverse (422400101), we get a palindrome (523404325).

The spelling of 101004224 in words is "one hundred one million, four thousand, two hundred twenty-four".