100485120 has 96 divisors (see below), whose sum is σ = 321572160. Its totient is φ = 26787840.

The previous prime is 100485101. The next prime is 100485139. The reversal of 100485120 is 21584001.

It is an interprime number because it is at equal distance from previous prime (100485101) and next prime (100485139).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29085 + ... + 32355.

It is an arithmetic number, because the mean of its divisors is an integer number (3349710).

Almost surely, 2^100485120 is an apocalyptic number.

100485120 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 100485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160786080).

100485120 is an abundant number, since it is smaller than the sum of its proper divisors (221087040).

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

100485120 is an equidigital number, since it uses as much as digits as its factorization.

100485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 100485120 is about 10024.2266534631. The cubic root of 100485120 is about 464.9082487490.

The spelling of 100485120 in words is "one hundred million, four hundred eighty-five thousand, one hundred twenty".