1105072000 has 64 divisors (see below), whose sum is σ = 2747525040. Its totient is φ = 442022400.

The previous prime is 1105071991. The next prime is 1105072009. The reversal of 1105072000 is 2705011.

It is an interprime number because it is at equal distance from previous prime (1105071991) and next prime (1105072009).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105072009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18534 + ... + 50533.

Almost surely, 2^1105072000 is an apocalyptic number.

1105072000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1105072000 is an abundant number, since it is smaller than the sum of its proper divisors (1642453040).

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

1105072000 is an frugal number, since it uses more digits than its factorization.

1105072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69096 (or 69074 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 1105072000 is about 33242.6232418562. The cubic root of 1105072000 is about 1033.8642664097.

Adding to 1105072000 its reverse (2705011), we get a palindrome (1107777011).

The spelling of 1105072000 in words is "one billion, one hundred five million, seventy-two thousand".