100224029844 has 36 divisors (see below), whose sum is σ = 254143297044. Its totient is φ = 33302618112.

The previous prime is 100224029833. The next prime is 100224029903. The reversal of 100224029844 is 448920422001.

100224029844 is a `hidden beast` number, since 100 + 22 + 402 + 98 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9917769744 + 90306260100 = 99588^2 + 300510^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100224029799 and 100224029808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4379757 + ... + 4402580.

It is an arithmetic number, because the mean of its divisors is an integer number (7059536029).

Almost surely, 2^100224029844 is an apocalyptic number.

It is an amenable number.

100224029844 is an abundant number, since it is smaller than the sum of its proper divisors (153919267200).

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

100224029844 is a wasteful number, since it uses less digits than its factorization.

100224029844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8782664 (or 8782659 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 100224029844 in words is "one hundred billion, two hundred twenty-four million, twenty-nine thousand, eight hundred forty-four".