100805320 has 128 divisors (see below), whose sum is σ = 295280640. Its totient is φ = 30032640.

The previous prime is 100805293. The next prime is 100805321. The reversal of 100805320 is 23508001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100805321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70129 + ... + 71551.

It is an arithmetic number, because the mean of its divisors is an integer number (2306880).

Almost surely, 2^100805320 is an apocalyptic number.

100805320 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 100805320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147640320).

100805320 is an abundant number, since it is smaller than the sum of its proper divisors (194475320).

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

100805320 is a wasteful number, since it uses less digits than its factorization.

100805320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 100805320 is about 10040.1852572550. The cubic root of 100805320 is about 465.4015416218.

It can be divided in two parts, 10080 and 5320, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 100805320 in words is "one hundred million, eight hundred five thousand, three hundred twenty".