100875840 has 224 divisors, whose sum is σ = 353324160. Its totient is φ = 24231936.

The previous prime is 100875839. The next prime is 100875847. The reversal of 100875840 is 48578001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100875847) 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, 736252 + ... + 736388.

It is an arithmetic number, because the mean of its divisors is an integer number (1577340).

Almost surely, 2^100875840 is an apocalyptic number.

100875840 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 100875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176662080).

100875840 is an abundant number, since it is smaller than the sum of its proper divisors (252448320).

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

100875840 is a wasteful number, since it uses less digits than its factorization.

100875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 100875840 is about 10043.6965306604. The cubic root of 100875840 is about 465.5100427287.

The spelling of 100875840 in words is "one hundred million, eight hundred seventy-five thousand, eight hundred forty".