100024146 has 48 divisors (see below), whose sum is σ = 225860544. Its totient is φ = 33176304.

The previous prime is 100024139. The next prime is 100024157. The reversal of 100024146 is 641420001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134251 + ... + 134993.

It is an arithmetic number, because the mean of its divisors is an integer number (4705428).

Almost surely, 2^100024146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100024146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112930272).

100024146 is an abundant number, since it is smaller than the sum of its proper divisors (125836398).

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

100024146 is an equidigital number, since it uses as much as digits as its factorization.

100024146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100024146 is about 10001.2072271301. The cubic root of 100024146 is about 464.1962389561.

Adding to 100024146 its reverse (641420001), we get a palindrome (741444147).

The spelling of 100024146 in words is "one hundred million, twenty-four thousand, one hundred forty-six".