1105640172 has 384 divisors, whose sum is σ = 3853516800. Its totient is φ = 265939200.

The previous prime is 1105640171. The next prime is 1105640177. The reversal of 1105640172 is 2710465011.

It is a happy number.

1105640172 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 640 + 17 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1105640171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5788597 + ... + 5788787.

It is an arithmetic number, because the mean of its divisors is an integer number (10035200).

Almost surely, 2^1105640172 is an apocalyptic number.

1105640172 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 1105640172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926758400).

1105640172 is an abundant number, since it is smaller than the sum of its proper divisors (2747876628).

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

1105640172 is a wasteful number, since it uses less digits than its factorization.

1105640172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1105640172 is about 33251.1679794861. The cubic root of 1105640172 is about 1034.0414229159.

The spelling of 1105640172 in words is "one billion, one hundred five million, six hundred forty thousand, one hundred seventy-two".