1105742880 has 192 divisors, whose sum is σ = 4222108800. Its totient is φ = 268047360.

The previous prime is 1105742879. The next prime is 1105742887. The reversal of 1105742880 is 882475011.

1105742880 is a `hidden beast` number, since 1 + 1 + 0 + 574 + 2 + 8 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1105742887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35886 + ... + 59154.

It is an arithmetic number, because the mean of its divisors is an integer number (21990150).

Almost surely, 2^1105742880 is an apocalyptic number.

1105742880 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 1105742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111054400).

1105742880 is an abundant number, since it is smaller than the sum of its proper divisors (3116365920).

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

1105742880 is a wasteful number, since it uses less digits than its factorization.

1105742880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23304 (or 23290 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1105742880 is about 33252.7123705721. The cubic root of 1105742880 is about 1034.0734408788.

The spelling of 1105742880 in words is "one billion, one hundred five million, seven hundred forty-two thousand, eight hundred eighty".