111602400 has 432 divisors, whose sum is σ = 461314224. Its totient is φ = 23224320.

The previous prime is 111602389. The next prime is 111602423. The reversal of 111602400 is 4206111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111602400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1528764 + ... + 1528836.

It is an arithmetic number, because the mean of its divisors is an integer number (1067857).

Almost surely, 2^111602400 is an apocalyptic number.

111602400 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 111602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230657112).

111602400 is an abundant number, since it is smaller than the sum of its proper divisors (349711824).

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

111602400 is a wasteful number, since it uses less digits than its factorization.

111602400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 111602400 is about 10564.2037087515. The cubic root of 111602400 is about 481.4573761911.

Adding to 111602400 its reverse (4206111), we get a palindrome (115808511).

The spelling of 111602400 in words is "one hundred eleven million, six hundred two thousand, four hundred".