100481040 has 160 divisors (see below), whose sum is σ = 377654400. Its totient is φ = 24353280.

The previous prime is 100481023. The next prime is 100481077. The reversal of 100481040 is 40184001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21646 + ... + 25874.

It is an arithmetic number, because the mean of its divisors is an integer number (2360340).

Almost surely, 2^100481040 is an apocalyptic number.

100481040 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 100481040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188827200).

100481040 is an abundant number, since it is smaller than the sum of its proper divisors (277173360).

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

100481040 is a wasteful number, since it uses less digits than its factorization.

100481040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 100481040 is about 10024.0231444266. The cubic root of 100481040 is about 464.9019564365.

The spelling of 100481040 in words is "one hundred million, four hundred eighty-one thousand, forty".