100224413505 has 32 divisors (see below), whose sum is σ = 178197909120. Its totient is φ = 53446668480.

The previous prime is 100224413503. The next prime is 100224413519. The reversal of 100224413505 is 505314422001.

100224413505 is a `hidden beast` number, since 100 + 2 + 2 + 44 + 13 + 505 = 666.

It is not a de Polignac number, because 100224413505 - 2¹ = 100224413503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100224413503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1232434 + ... + 1311236.

It is an arithmetic number, because the mean of its divisors is an integer number (5568684660).

Almost surely, 2^100224413505 is an apocalyptic number.

100224413505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100224413505 is a deficient number, since it is larger than the sum of its proper divisors (77973495615).

100224413505 is an equidigital number, since it uses as much as digits as its factorization.

100224413505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88238 (or 88232 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 100224413505 its reverse (505314422001), we get a palindrome (605538835506).

The spelling of 100224413505 in words is "one hundred billion, two hundred twenty-four million, four hundred thirteen thousand, five hundred five".