100288146 has 64 divisors (see below), whose sum is σ = 235164672. Its totient is φ = 27922752.

The previous prime is 100288129. The next prime is 100288159. The reversal of 100288146 is 641882001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441685 + ... + 441911.

It is an arithmetic number, because the mean of its divisors is an integer number (3674448).

Almost surely, 2^100288146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100288146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117582336).

100288146 is an abundant number, since it is smaller than the sum of its proper divisors (134876526).

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

100288146 is a wasteful number, since it uses less digits than its factorization.

100288146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 100288146 is about 10014.3969364111. The cubic root of 100288146 is about 464.6042742615.

The spelling of 100288146 in words is "one hundred million, two hundred eighty-eight thousand, one hundred forty-six".