11492100 has 81 divisors (see below), whose sum is σ = 36342943. Its totient is φ = 3037440.

The previous prime is 11492087. The next prime is 11492101. The reversal of 11492100 is 129411.

The square root of 11492100 is 3390.

It is a perfect power (a square), and thus also a powerful number.

11492100 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 4 ways, for example, as 5846724 + 5645376 = 2418^2 + 2376^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11492101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 101644 + ... + 101756.

Almost surely, 2^11492100 is an apocalyptic number.

11492100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11492100 is the 3390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11492100

11492100 is an abundant number, since it is smaller than the sum of its proper divisors (24850843).

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

11492100 is a wasteful number, since it uses less digits than its factorization.

11492100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The cubic root of 11492100 is about 225.6661738124. Note that the first 3 decimals are identical.

It can be divided in two parts, 1149 and 2100, that added together give a square (3249 = 57²).

The spelling of 11492100 in words is "eleven million, four hundred ninety-two thousand, one hundred".