100286144 has 84 divisors (see below), whose sum is σ = 234369864. Its totient is φ = 42448896.

The previous prime is 100286143. The next prime is 100286167. The reversal of 100286144 is 441682001.

It is not an unprimeable number, because it can be changed into a prime (100286143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 354227 + ... + 354509.

Almost surely, 2^100286144 is an apocalyptic number.

100286144 is a gapful number since it is divisible by the number (14) 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 100286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117184932).

100286144 is an abundant number, since it is smaller than the sum of its proper divisors (134083720).

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

100286144 is a wasteful number, since it uses less digits than its factorization.

100286144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 100286144 is about 10014.2969798184. The cubic root of 100286144 is about 464.6011826899.

The spelling of 100286144 in words is "one hundred million, two hundred eighty-six thousand, one hundred forty-four".