11042100 has 54 divisors (see below), whose sum is σ = 34613670. Its totient is φ = 2944320.

The previous prime is 11042081. The next prime is 11042113. The reversal of 11042100 is 124011.

It is a happy number.

11042100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2782224 + 8259876 = 1668^2 + 2874^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5235 + ... + 7034.

Almost surely, 2^11042100 is an apocalyptic number.

11042100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11042100 is an abundant number, since it is smaller than the sum of its proper divisors (23571570).

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

11042100 is a wasteful number, since it uses less digits than its factorization.

11042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12289 (or 12279 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11042100 is about 3322.9655430052. The cubic root of 11042100 is about 222.6813738040.

Adding to 11042100 its reverse (124011), we get a palindrome (11166111).

The spelling of 11042100 in words is "eleven million, forty-two thousand, one hundred".