11034100 has 72 divisors (see below), whose sum is σ = 29873088. Its totient is φ = 3436800.

The previous prime is 11034091. The next prime is 11034119. The reversal of 11034100 is 143011.

11034100 = T₂₆₄ + T₂₆₅ + ... + T₄₃₈.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6984 + ... + 8416.

It is an arithmetic number, because the mean of its divisors is an integer number (414904).

Almost surely, 2^11034100 is an apocalyptic number.

11034100 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 11034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14936544).

11034100 is an abundant number, since it is smaller than the sum of its proper divisors (18838988).

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

11034100 is a wasteful number, since it uses less digits than its factorization.

11034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11034100 is about 3321.7615808483. The cubic root of 11034100 is about 222.6275832694.

Adding to 11034100 its reverse (143011), we get a palindrome (11177111).

The spelling of 11034100 in words is "eleven million, thirty-four thousand, one hundred".