10042100 has 36 divisors (see below), whose sum is σ = 21980364. Its totient is φ = 3982080.

The previous prime is 10042093. The next prime is 10042103. The reversal of 10042100 is 124001.

It can be written as a sum of positive squares in 6 ways, for example, as 481636 + 9560464 = 694^2 + 3092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13334 + ... + 14066.

Almost surely, 2^10042100 is an apocalyptic number.

10042100 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 10042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10990182).

10042100 is an abundant number, since it is smaller than the sum of its proper divisors (11938264).

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

10042100 is a wasteful number, since it uses less digits than its factorization.

10042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 10042100 is about 3168.9272632864. The cubic root of 10042100 is about 215.7453847119.

Adding to 10042100 its reverse (124001), we get a palindrome (10166101).

The spelling of 10042100 in words is "ten million, forty-two thousand, one hundred".