100120480 has 48 divisors (see below), whose sum is σ = 250455240. Its totient is φ = 37691392.

The previous prime is 100120457. The next prime is 100120511. The reversal of 100120480 is 84021001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 86192656 + 13927824 = 9284^2 + 3732^2 .

It is a super-2 number, since 2×100120480² = 20048221030860800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15685 + ... + 21124.

Almost surely, 2^100120480 is an apocalyptic number.

100120480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120480 is an abundant number, since it is smaller than the sum of its proper divisors (150334760).

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

100120480 is a wasteful number, since it uses less digits than its factorization.

100120480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36841 (or 36833 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 100120480 is about 10006.0221866634. The cubic root of 100120480 is about 464.3452147582.

Adding to 100120480 its reverse (84021001), we get a palindrome (184141481).

The spelling of 100120480 in words is "one hundred million, one hundred twenty thousand, four hundred eighty".