1105057296 has 160 divisors (see below), whose sum is σ = 3750355200. Its totient is φ = 304819200.

The previous prime is 1105057259. The next prime is 1105057313. The reversal of 1105057296 is 6927505011.

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 1105057296.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81396 + ... + 93996.

It is an arithmetic number, because the mean of its divisors is an integer number (23439720).

Almost surely, 2^1105057296 is an apocalyptic number.

1105057296 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 1105057296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875177600).

1105057296 is an abundant number, since it is smaller than the sum of its proper divisors (2645297904).

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

1105057296 is a wasteful number, since it uses less digits than its factorization.

1105057296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12654 (or 12642 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 1105057296 is about 33242.4020792722. The cubic root of 1105057296 is about 1033.8596808841.

The spelling of 1105057296 in words is "one billion, one hundred five million, fifty-seven thousand, two hundred ninety-six".