100420025472 has 192 divisors, whose sum is σ = 324728913600. Its totient is φ = 29554956288.

The previous prime is 100420025467. The next prime is 100420025473. The reversal of 100420025472 is 274520024001.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (100420025473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198679 + ... + 490217.

It is an arithmetic number, because the mean of its divisors is an integer number (1691296425).

Almost surely, 2^100420025472 is an apocalyptic number.

100420025472 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 100420025472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162364456800).

100420025472 is an abundant number, since it is smaller than the sum of its proper divisors (224308888128).

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

100420025472 is a wasteful number, since it uses less digits than its factorization.

100420025472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291595 (or 291580 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 100420025472 its reverse (274520024001), we get a palindrome (374940049473).

The spelling of 100420025472 in words is "one hundred billion, four hundred twenty million, twenty-five thousand, four hundred seventy-two".