100506224 has 40 divisors (see below), whose sum is σ = 239672160. Its totient is φ = 39760128.

The previous prime is 100506221. The next prime is 100506269. The reversal of 100506224 is 422605001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100506196 and 100506205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100506221) 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, 33059 + ... + 35970.

It is an arithmetic number, because the mean of its divisors is an integer number (5991804).

Almost surely, 2^100506224 is an apocalyptic number.

100506224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100506224 is an abundant number, since it is smaller than the sum of its proper divisors (139165936).

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

100506224 is a wasteful number, since it uses less digits than its factorization.

100506224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69057 (or 69051 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 100506224 is about 10025.2792479811. The cubic root of 100506224 is about 464.9407933251.

The spelling of 100506224 in words is "one hundred million, five hundred six thousand, two hundred twenty-four".