100209425472 has 336 divisors, whose sum is σ = 336125637120. Its totient is φ = 28267315200.

The previous prime is 100209425423. The next prime is 100209425497. The reversal of 100209425472 is 274524902001.

100209425472 is a `hidden beast` number, since 1 + 0 + 0 + 20 + 94 + 2 + 547 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4399072 + ... + 4421792.

It is an arithmetic number, because the mean of its divisors is an integer number (1000373920).

Almost surely, 2^100209425472 is an apocalyptic number.

100209425472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100209425472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168062818560).

100209425472 is an abundant number, since it is smaller than the sum of its proper divisors (235916211648).

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

100209425472 is a wasteful number, since it uses less digits than its factorization.

100209425472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22802 (or 22789 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 100209425472 in words is "one hundred billion, two hundred nine million, four hundred twenty-five thousand, four hundred seventy-two".