10842100 has 18 divisors (see below), whose sum is σ = 23527574. Its totient is φ = 4336800.

The previous prime is 10842077. The next prime is 10842109. The reversal of 10842100 is 124801.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 944784 + 9897316 = 972^2 + 3146^2 .

It is a super-2 number, since 2×10842100² = 235102264820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10842109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54111 + ... + 54310.

Almost surely, 2^10842100 is an apocalyptic number.

10842100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10842100 is an abundant number, since it is smaller than the sum of its proper divisors (12685474).

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

10842100 is a wasteful number, since it uses less digits than its factorization.

10842100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108435 (or 108428 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 10842100 is about 3292.7344259749. The cubic root of 10842100 is about 221.3287355297.

Adding to 10842100 its reverse (124801), we get a palindrome (10966901).

The spelling of 10842100 in words is "ten million, eight hundred forty-two thousand, one hundred".