100886240 has 192 divisors, whose sum is σ = 302279040. Its totient is φ = 31150080.

The previous prime is 100886237. The next prime is 100886249. The reversal of 100886240 is 42688001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100886249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2460620 + ... + 2460660.

It is an arithmetic number, because the mean of its divisors is an integer number (1574370).

Almost surely, 2^100886240 is an apocalyptic number.

100886240 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 100886240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151139520).

100886240 is an abundant number, since it is smaller than the sum of its proper divisors (201392800).

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

100886240 is an equidigital number, since it uses as much as digits as its factorization.

100886240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 100886240 is about 10044.2142549828. The cubic root of 100886240 is about 465.5260397473.

The spelling of 100886240 in words is "one hundred million, eight hundred eighty-six thousand, two hundred forty".