1106876736 has 168 divisors, whose sum is σ = 3642872064. Its totient is φ = 314772480.

The previous prime is 1106876689. The next prime is 1106876737. The reversal of 1106876736 is 6376786011.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1106876736² = 2450352217396027392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1106876691 and 1106876700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106876737) 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 23 ways as a sum of consecutive naturals, for example, 1092166 + ... + 1093178.

Almost surely, 2^1106876736 is an apocalyptic number.

1106876736 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 1106876736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821436032).

1106876736 is an abundant number, since it is smaller than the sum of its proper divisors (2535995328).

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

1106876736 is a wasteful number, since it uses less digits than its factorization.

1106876736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1106876736 is about 33269.7570775622. The cubic root of 1106876736 is about 1034.4267749308.

The spelling of 1106876736 in words is "one billion, one hundred six million, eight hundred seventy-six thousand, seven hundred thirty-six".