1104111410100 has 288 divisors, whose sum is σ = 3320650798080. Its totient is φ = 282949632000.

The previous prime is 1104111410089. The next prime is 1104111410147. The reversal of 1104111410100 is 10141114011.

It is a super-4 number, since 4×1104111410100⁴ (a number of 49 digits) contains 4444 as substring.

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 1104111410100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1068839184 + ... + 1068840216.

Almost surely, 2^{1104111410100} is an apocalyptic number.

1104111410100 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 1104111410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660325399040).

1104111410100 is an abundant number, since it is smaller than the sum of its proper divisors (2216539387980).

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

1104111410100 is a wasteful number, since it uses less digits than its factorization.

1104111410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1104111410100 its reverse (10141114011), we get a palindrome (1114252524111).

The spelling of 1104111410100 in words is "one trillion, one hundred four billion, one hundred eleven million, four hundred ten thousand, one hundred".