1105072128 has 156 divisors (see below), whose sum is σ = 3298417408. Its totient is φ = 356106240.

The previous prime is 1105072103. The next prime is 1105072169. The reversal of 1105072128 is 8212705011.

1105072128 is a `hidden beast` number, since 110 + 507 + 21 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1142301 + ... + 1143267.

Almost surely, 2^1105072128 is an apocalyptic number.

1105072128 is a gapful number since it is divisible by the number (18) 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 1105072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649208704).

1105072128 is an abundant number, since it is smaller than the sum of its proper divisors (2193345280).

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

1105072128 is an equidigital number, since it uses as much as digits as its factorization.

1105072128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 1105072128 is about 33242.6251670953. The cubic root of 1105072128 is about 1033.8643063270.

Adding to 1105072128 its reverse (8212705011), we get a palindrome (9317777139).

The spelling of 1105072128 in words is "one billion, one hundred five million, seventy-two thousand, one hundred twenty-eight".