11485100 has 72 divisors (see below), whose sum is σ = 27841968. Its totient is φ = 4076800.

The previous prime is 11485093. The next prime is 11485109. The reversal of 11485100 is 158411.

11485100 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11485109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58202 + ... + 58398.

It is an arithmetic number, because the mean of its divisors is an integer number (386694).

Almost surely, 2^11485100 is an apocalyptic number.

11485100 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 11485100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13920984).

11485100 is an abundant number, since it is smaller than the sum of its proper divisors (16356868).

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

11485100 is a wasteful number, since it uses less digits than its factorization.

11485100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 11485100 is about 3388.9673943548. The cubic root of 11485100 is about 225.6203456912.

It can be divided in two parts, 11 and 485100, that multiplied together give a square (5336100 = 2310²).

The spelling of 11485100 in words is "eleven million, four hundred eighty-five thousand, one hundred".