1106929152 has 480 divisors, whose sum is σ = 4003743744. Its totient is φ = 298598400.

The previous prime is 1106929081. The next prime is 1106929157. The reversal of 1106929152 is 2519296011.

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 (1106929157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26998252 + ... + 26998292.

It is a vampire number, since it can be written as 12096 ⋅ 91512 (with its own digits).

Almost surely, 2^1106929152 is an apocalyptic number.

1106929152 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 1106929152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001871872).

1106929152 is an abundant number, since it is smaller than the sum of its proper divisors (2896814592).

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

1106929152 is an frugal number, since it uses more digits than its factorization.

1106929152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1106929152 is about 33270.5448106880. The cubic root of 1106929152 is about 1034.4431030537.

The spelling of 1106929152 in words is "one billion, one hundred six million, nine hundred twenty-nine thousand, one hundred fifty-two".