100256480 has 192 divisors, whose sum is σ = 274337280. Its totient is φ = 34406400.

The previous prime is 100256417. The next prime is 100256501. The reversal of 100256480 is 84652001.

Together with 174080799 it forms a betrothed pair.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2445260 + ... + 2445300.

It is an arithmetic number, because the mean of its divisors is an integer number (1428840).

Almost surely, 2^100256480 is an apocalyptic number.

100256480 is a gapful number since it is divisible by the number (10) 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 100256480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640).

100256480 is an abundant number, since it is smaller than the sum of its proper divisors (174080800).

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

100256480 is a wasteful number, since it uses less digits than its factorization.

100256480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 100256480 is about 10012.8157877792. The cubic root of 100256480 is about 464.5553694864. Note that the first 3 decimals are identical.

The spelling of 100256480 in words is "one hundred million, two hundred fifty-six thousand, four hundred eighty".