100830042 has 96 divisors (see below), whose sum is σ = 243086400. Its totient is φ = 30935520.

The previous prime is 100829987. The next prime is 100830047. The reversal of 100830042 is 240038001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 100829997 and 100830024.

It is not an unprimeable number, because it can be changed into a prime (100830047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1504893 + ... + 1504959.

It is an arithmetic number, because the mean of its divisors is an integer number (2532150).

Almost surely, 2^100830042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100830042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121543200).

100830042 is an abundant number, since it is smaller than the sum of its proper divisors (142256358).

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

100830042 is a wasteful number, since it uses less digits than its factorization.

100830042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 132 counting only the distinct ones).

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

The square root of 100830042 is about 10041.4163343624. The cubic root of 100830042 is about 465.4395843113.

Adding to 100830042 its reverse (240038001), we get a palindrome (340868043).

The spelling of 100830042 in words is "one hundred million, eight hundred thirty thousand, forty-two".