1103953536 has 480 divisors, whose sum is σ = 3988810980. Its totient is φ = 301916160.

The previous prime is 1103953519. The next prime is 1103953537. The reversal of 1103953536 is 6353593011.

1103953536 is a `hidden beast` number, since 110 + 3 + 9 + 5 + 3 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1073217600 + 30735936 = 32760^2 + 5544^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1103953536.

It is not an unprimeable number, because it can be changed into a prime (1103953537) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20829286 + ... + 20829338.

Almost surely, 2^1103953536 is an apocalyptic number.

1103953536 is a gapful number since it is divisible by the number (16) 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 1103953536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994405490).

1103953536 is an abundant number, since it is smaller than the sum of its proper divisors (2884857444).

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

1103953536 is an equidigital number, since it uses as much as digits as its factorization.

1103953536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 1103953536 is about 33225.7962432806. The cubic root of 1103953536 is about 1033.5153508940.

The spelling of 1103953536 in words is "one billion, one hundred three million, nine hundred fifty-three thousand, five hundred thirty-six".