113104193400 has 1152 divisors, whose sum is σ = 455970816000. Its totient is φ = 25706419200.

The previous prime is 113104193357. The next prime is 113104193401. The reversal of 113104193400 is 4391401311.

113104193400 is a `hidden beast` number, since 1 + 1 + 310 + 4 + 1 + 9 + 340 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113104193401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 890584137 + ... + 890584263.

It is an arithmetic number, because the mean of its divisors is an integer number (395808000).

Almost surely, 2^113104193400 is an apocalyptic number.

113104193400 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 113104193400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227985408000).

113104193400 is an abundant number, since it is smaller than the sum of its proper divisors (342866622600).

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

113104193400 is a wasteful number, since it uses less digits than its factorization.

113104193400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 113104193400 its reverse (4391401311), we get a palindrome (117495594711).

The spelling of 113104193400 in words is "one hundred thirteen billion, one hundred four million, one hundred ninety-three thousand, four hundred".