100805040 has 320 divisors, whose sum is σ = 407116800. Its totient is φ = 22450176.

The previous prime is 100805017. The next prime is 100805059. The reversal of 100805040 is 40508001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 892024 + ... + 892136.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 2^100805040 is an apocalyptic number.

100805040 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 100805040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

100805040 is an abundant number, since it is smaller than the sum of its proper divisors (306311760).

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

100805040 is a wasteful number, since it uses less digits than its factorization.

100805040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 100805040 is about 10040.1713132795. The cubic root of 100805040 is about 465.4011107167.

The spelling of 100805040 in words is "one hundred million, eight hundred five thousand, forty".