104511110400 has 162 divisors, whose sum is σ = 373651013190. Its totient is φ = 27869614080.

The previous prime is 104511110357. The next prime is 104511110401. The reversal of 104511110400 is 4011115401.

104511110400 is a `hidden beast` number, since 1 + 0 + 4 + 511 + 110 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3356580096 + 101154530304 = 57936^2 + 318048^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104511110401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 849615 + ... + 964814.

Almost surely, 2^104511110400 is an apocalyptic number.

104511110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104511110400 is an abundant number, since it is smaller than the sum of its proper divisors (269139902790).

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

104511110400 is a wasteful number, since it uses less digits than its factorization.

104511110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814461 (or 1814439 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 104511110400 its reverse (4011115401), we get a palindrome (108522225801).

The spelling of 104511110400 in words is "one hundred four billion, five hundred eleven million, one hundred ten thousand, four hundred".