105531392 has 36 divisors (see below), whose sum is σ = 211944915. Its totient is φ = 52533248.

The previous prime is 105531389. The next prime is 105531397. The reversal of 105531392 is 293135501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 52765696 + 52765696 = 7264^2 + 7264^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7264.

It is a super-2 number, since 2×105531392² = 22273749394915328, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105531397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 464783 + ... + 465009.

Almost surely, 2^105531392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105531392

105531392 is an abundant number, since it is smaller than the sum of its proper divisors (106413523).

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

105531392 is an frugal number, since it uses more digits than its factorization.

105531392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 29.

The square root of 105531392 is about 10272.8473170782. The cubic root of 105531392 is about 472.5639147230.

Multiplying 105531392 by its product of nonzero digits (4050), we get a square (427402137600 = 653760²).

Adding to 105531392 its reverse (293135501), we get a palindrome (398666893).

The spelling of 105531392 in words is "one hundred five million, five hundred thirty-one thousand, three hundred ninety-two".