11978100 has 54 divisors (see below), whose sum is σ = 37547510. Its totient is φ = 3193920.

The previous prime is 11978077. The next prime is 11978107. The reversal of 11978100 is 187911.

It can be written as a sum of positive squares in 3 ways, for example, as 116964 + 11861136 = 342^2 + 3444^2 .

It is a super-2 number, since 2×11978100² = 286949759220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11978107) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 5755 + ... + 7554.

Almost surely, 2^11978100 is an apocalyptic number.

11978100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11978100 is an abundant number, since it is smaller than the sum of its proper divisors (25569410).

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

11978100 is a wasteful number, since it uses less digits than its factorization.

11978100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13329 (or 13319 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The square root of 11978100 is about 3460.9391788935. The cubic root of 11978100 is about 228.8034901337.

The spelling of 11978100 in words is "eleven million, nine hundred seventy-eight thousand, one hundred".