100260480 has 128 divisors (see below), whose sum is σ = 324115200. Its totient is φ = 26357760.

The previous prime is 100260469. The next prime is 100260497. The reversal of 100260480 is 84062001.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151350 + ... + 152010.

It is an arithmetic number, because the mean of its divisors is an integer number (2532150).

Almost surely, 2^100260480 is an apocalyptic number.

100260480 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 100260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162057600).

100260480 is an abundant number, since it is smaller than the sum of its proper divisors (223854720).

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

100260480 is an equidigital number, since it uses as much as digits as its factorization.

100260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 100260480 is about 10013.0155297992. The cubic root of 100260480 is about 464.5615476299.

The spelling of 100260480 in words is "one hundred million, two hundred sixty thousand, four hundred eighty".