1098565104 has 480 divisors, whose sum is σ = 3926415360. Its totient is φ = 261273600.

The previous prime is 1098565093. The next prime is 1098565151. The reversal of 1098565104 is 4015658901.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 18009234 + ... + 18009294.

It is an arithmetic number, because the mean of its divisors is an integer number (8180032).

Almost surely, 2^1098565104 is an apocalyptic number.

1098565104 is a gapful number since it is divisible by the number (14) 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 1098565104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963207680).

1098565104 is an abundant number, since it is smaller than the sum of its proper divisors (2827850256).

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

1098565104 is a wasteful number, since it uses less digits than its factorization.

1098565104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 1098565104 is about 33144.6089734062. The cubic root of 1098565104 is about 1031.8310672343.

It can be divided in two parts, 109856 and 5104, that added together give a triangular number (114960 = T₄₇₉).

The spelling of 1098565104 in words is "one billion, ninety-eight million, five hundred sixty-five thousand, one hundred four".