100859980 has 96 divisors (see below), whose sum is σ = 254439360. Its totient is φ = 33177600.

The previous prime is 100859977. The next prime is 100859987. The reversal of 100859980 is 89958001.

It is not an unprimeable number, because it can be changed into a prime (100859987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83380 + ... + 84580.

It is an arithmetic number, because the mean of its divisors is an integer number (2650410).

Almost surely, 2^100859980 is an apocalyptic number.

100859980 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 100859980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127219680).

100859980 is an abundant number, since it is smaller than the sum of its proper divisors (153579380).

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

100859980 is a wasteful number, since it uses less digits than its factorization.

100859980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 40.

The square root of 100859980 is about 10042.9069496834. The cubic root of 100859980 is about 465.4856451582.

The spelling of 100859980 in words is "one hundred million, eight hundred fifty-nine thousand, nine hundred eighty".