1106777376 has 144 divisors (see below), whose sum is σ = 3311642880. Its totient is φ = 350138880.

The previous prime is 1106777369. The next prime is 1106777423. The reversal of 1106777376 is 6737776011.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472015 + ... + 474353.

It is an arithmetic number, because the mean of its divisors is an integer number (22997520).

Almost surely, 2^1106777376 is an apocalyptic number.

1106777376 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 1106777376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655821440).

1106777376 is an abundant number, since it is smaller than the sum of its proper divisors (2204865504).

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

1106777376 is a wasteful number, since it uses less digits than its factorization.

1106777376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 259308, while the sum is 45.

The square root of 1106777376 is about 33268.2637959963. The cubic root of 1106777376 is about 1034.3958218546.

The spelling of 1106777376 in words is "one billion, one hundred six million, seven hundred seventy-seven thousand, three hundred seventy-six".