152211105 has 24 divisors (see below), whose sum is σ = 264641832. Its totient is φ = 80930304.

The previous prime is 152211089. The next prime is 152211107. The reversal of 152211105 is 501112251.

It can be written as a sum of positive squares in 4 ways, for example, as 2099601 + 150111504 = 1449^2 + 12252^2 .

It is not a de Polignac number, because 152211105 - 2⁴ = 152211089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152211107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10147 + ... + 20183.

It is an arithmetic number, because the mean of its divisors is an integer number (11026743).

Almost surely, 2^152211105 is an apocalyptic number.

152211105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152211105 is a deficient number, since it is larger than the sum of its proper divisors (112430727).

152211105 is a wasteful number, since it uses less digits than its factorization.

152211105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10385 (or 10382 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 152211105 is about 12337.3864736418. The cubic root of 152211105 is about 533.9272825276.

Adding to 152211105 its reverse (501112251), we get a palindrome (653323356).

The spelling of 152211105 in words is "one hundred fifty-two million, two hundred eleven thousand, one hundred five".