1106468352 has 240 divisors, whose sum is σ = 3539023488. Its totient is φ = 329994240.

The previous prime is 1106468329. The next prime is 1106468357. The reversal of 1106468352 is 2538646011.

It is a happy number.

1106468352 is a `hidden beast` number, since 1 + 1 + 0 + 646 + 8 + 3 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106468357) 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, 4206973 + ... + 4207235.

Almost surely, 2^1106468352 is an apocalyptic number.

1106468352 is a gapful number since it is divisible by the number (12) 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 1106468352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769511744).

1106468352 is an abundant number, since it is smaller than the sum of its proper divisors (2432555136).

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

1106468352 is a wasteful number, since it uses less digits than its factorization.

1106468352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1106468352 is about 33263.6190454376. The cubic root of 1106468352 is about 1034.2995414595.

The spelling of 1106468352 in words is "one billion, one hundred six million, four hundred sixty-eight thousand, three hundred fifty-two".