1102966416 has 160 divisors (see below), whose sum is σ = 3374784000. Its totient is φ = 343896192.

The previous prime is 1102966399. The next prime is 1102966427. The reversal of 1102966416 is 6146692011.

1102966416 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 9 + 6 + 641 + 6 = 666.

1102966416 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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, 680455 + ... + 682073.

It is an arithmetic number, because the mean of its divisors is an integer number (21092400).

Almost surely, 2^1102966416 is an apocalyptic number.

1102966416 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 1102966416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687392000).

1102966416 is an abundant number, since it is smaller than the sum of its proper divisors (2271817584).

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

1102966416 is a wasteful number, since it uses less digits than its factorization.

1102966416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1102966416 is about 33210.9381981298. The cubic root of 1102966416 is about 1033.2072135589.

The spelling of 1102966416 in words is "one billion, one hundred two million, nine hundred sixty-six thousand, four hundred sixteen".