11103674400 has 1080 divisors, whose sum is σ = 50915998980. Its totient is φ = 2334044160.

The previous prime is 11103674399. The next prime is 11103674401. The reversal of 11103674400 is 447630111.

11103674400 = 421³ + 422³ + ... + 524³.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11103674399) and next prime (11103674401).

It can be written as a sum of positive squares in 6 ways, for example, as 376515216 + 10727159184 = 19404^2 + 103572^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11103674401) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 41277466 + ... + 41277734.

Almost surely, 2^11103674400 is an apocalyptic number.

11103674400 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 11103674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25457999490).

11103674400 is an abundant number, since it is smaller than the sum of its proper divisors (39812324580).

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

11103674400 is a wasteful number, since it uses less digits than its factorization.

11103674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 11103674400 in words is "eleven billion, one hundred three million, six hundred seventy-four thousand, four hundred".