100446120 has 96 divisors (see below), whose sum is σ = 335317320. Its totient is φ = 26058240.

The previous prime is 100446109. The next prime is 100446121. The reversal of 100446120 is 21644001.

100446120 is a `hidden beast` number, since 10 + 0 + 44 + 612 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80892036 + 19554084 = 8994^2 + 4422^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100446093 and 100446102.

It is not an unprimeable number, because it can be changed into a prime (100446121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9550 + ... + 17090.

Almost surely, 2^100446120 is an apocalyptic number.

100446120 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 100446120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167658660).

100446120 is an abundant number, since it is smaller than the sum of its proper divisors (234871200).

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

100446120 is a wasteful number, since it uses less digits than its factorization.

100446120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7595 (or 7588 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100446120 is about 10022.2811774566. The cubic root of 100446120 is about 464.8480946754.

The spelling of 100446120 in words is "one hundred million, four hundred forty-six thousand, one hundred twenty".