100348224 has 56 divisors (see below), whose sum is σ = 266870688. Its totient is φ = 33277440.

The previous prime is 100348223. The next prime is 100348267. The reversal of 100348224 is 422843001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100348194 and 100348203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100348223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39274 + ... + 41750.

It is an arithmetic number, because the mean of its divisors is an integer number (4765548).

Almost surely, 2^100348224 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 100348224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133435344).

100348224 is an abundant number, since it is smaller than the sum of its proper divisors (166522464).

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

100348224 is a wasteful number, since it uses less digits than its factorization.

100348224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 100348224 is about 10017.3960688394. The cubic root of 100348224 is about 464.6970300685.

The spelling of 100348224 in words is "one hundred million, three hundred forty-eight thousand, two hundred twenty-four".