11898900 has 180 divisors, whose sum is σ = 41906172. Its totient is φ = 2903040.

The previous prime is 11898881. The next prime is 11898973. The reversal of 11898900 is 989811.

It can be written as a sum of positive squares in 6 ways, for example, as 4511376 + 7387524 = 2124^2 + 2718^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 105244 + ... + 105356.

Almost surely, 2^11898900 is an apocalyptic number.

11898900 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 11898900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20953086).

11898900 is an abundant number, since it is smaller than the sum of its proper divisors (30007272).

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

11898900 is a wasteful number, since it uses less digits than its factorization.

11898900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 11898900 is about 3449.4782214126. The cubic root of 11898900 is about 228.2980865669.

The spelling of 11898900 in words is "eleven million, eight hundred ninety-eight thousand, nine hundred".