100442160 has 480 divisors, whose sum is σ = 439346880. Its totient is φ = 20901888.

The previous prime is 100442123. The next prime is 100442183. The reversal of 100442160 is 61244001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1375884 + ... + 1375956.

It is an arithmetic number, because the mean of its divisors is an integer number (915306).

Almost surely, 2^100442160 is an apocalyptic number.

100442160 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 100442160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219673440).

100442160 is an abundant number, since it is smaller than the sum of its proper divisors (338904720).

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

100442160 is a wasteful number, since it uses less digits than its factorization.

100442160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 103 counting only the distinct ones).

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

The square root of 100442160 is about 10022.0836156959. The cubic root of 100442160 is about 464.8419858526.

Adding to 100442160 its reverse (61244001), we get a palindrome (161686161).

The spelling of 100442160 in words is "one hundred million, four hundred forty-two thousand, one hundred sixty".