100498224 has 160 divisors (see below), whose sum is σ = 290695680. Its totient is φ = 29804544.

The previous prime is 100498217. The next prime is 100498231. The reversal of 100498224 is 422894001.

It is an interprime number because it is at equal distance from previous prime (100498217) and next prime (100498231).

It is a junction number, because it is equal to n+sod(n) for n = 100498191 and 100498200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1376652 + ... + 1376724.

It is an arithmetic number, because the mean of its divisors is an integer number (1816848).

Almost surely, 2^100498224 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 100498224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145347840).

100498224 is an abundant number, since it is smaller than the sum of its proper divisors (190197456).

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

100498224 is a wasteful number, since it uses less digits than its factorization.

100498224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 100498224 is about 10024.8802486613. The cubic root of 100498224 is about 464.9284570242.

The spelling of 100498224 in words is "one hundred million, four hundred ninety-eight thousand, two hundred twenty-four".