100366080 has 144 divisors (see below), whose sum is σ = 326712960. Its totient is φ = 26251264.

The previous prime is 100366061. The next prime is 100366081. The reversal of 100366080 is 80663001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100366080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100366081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226339 + ... + 226781.

It is an arithmetic number, because the mean of its divisors is an integer number (2268840).

Almost surely, 2^100366080 is an apocalyptic number.

100366080 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 100366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163356480).

100366080 is an abundant number, since it is smaller than the sum of its proper divisors (226346880).

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

100366080 is an equidigital number, since it uses as much as digits as its factorization.

100366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 100366080 is about 10018.2872787718. The cubic root of 100366080 is about 464.7245912208.

The spelling of 100366080 in words is "one hundred million, three hundred sixty-six thousand, eighty".