11468100 has 144 divisors (see below), whose sum is σ = 39108608. Its totient is φ = 2540160.

The previous prime is 11468089. The next prime is 11468101. The reversal of 11468100 is 186411.

It is a super-2 number, since 2×11468100² = 263034635220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11468101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90237 + ... + 90363.

Almost surely, 2^11468100 is an apocalyptic number.

11468100 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 11468100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19554304).

11468100 is an abundant number, since it is smaller than the sum of its proper divisors (27640508).

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

11468100 is a wasteful number, since it uses less digits than its factorization.

11468100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 11468100 is about 3386.4583269250. The cubic root of 11468100 is about 225.5089712476.

The spelling of 11468100 in words is "eleven million, four hundred sixty-eight thousand, one hundred".