1103892480 has 312 divisors, whose sum is σ = 3933056088. Its totient is φ = 286261248.

The previous prime is 1103892473. The next prime is 1103892499. The reversal of 1103892480 is 842983011.

It can be written as a sum of positive squares in 4 ways, for example, as 13307904 + 1090584576 = 3648^2 + 33024^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9768904 + ... + 9769016.

It is an arithmetic number, because the mean of its divisors is an integer number (12605949).

Almost surely, 2^1103892480 is an apocalyptic number.

1103892480 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 1103892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966528044).

1103892480 is an abundant number, since it is smaller than the sum of its proper divisors (2829163608).

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

1103892480 is a wasteful number, since it uses less digits than its factorization.

1103892480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1103892480 is about 33224.8774264105. The cubic root of 1103892480 is about 1033.4962971100.

The spelling of 1103892480 in words is "one billion, one hundred three million, eight hundred ninety-two thousand, four hundred eighty".