100442052 has 96 divisors (see below), whose sum is σ = 278087040. Its totient is φ = 31242240.

The previous prime is 100442039. The next prime is 100442053. The reversal of 100442052 is 250244001.

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

It is not an unprimeable number, because it can be changed into a prime (100442053) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 416652 + ... + 416892.

It is an arithmetic number, because the mean of its divisors is an integer number (2896740).

Almost surely, 2^100442052 is an apocalyptic number.

100442052 is a gapful number since it is divisible by the number (12) 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 100442052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139043520).

100442052 is an abundant number, since it is smaller than the sum of its proper divisors (177644988).

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

100442052 is a wasteful number, since it uses less digits than its factorization.

100442052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 100442052 is about 10022.0782275933. The cubic root of 100442052 is about 464.8418192461.

Adding to 100442052 its reverse (250244001), we get a palindrome (350686053).

The spelling of 100442052 in words is "one hundred million, four hundred forty-two thousand, fifty-two".