105981332 has 24 divisors (see below), whose sum is σ = 204918336. Its totient is φ = 47704448.

The previous prime is 105981331. The next prime is 105981347. The reversal of 105981332 is 233189501.

It is a super-2 number, since 2×105981332² = 22464085464988448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105981331) 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 7 ways as a sum of consecutive naturals, for example, 32318 + ... + 35445.

It is an arithmetic number, because the mean of its divisors is an integer number (8538264).

Almost surely, 2^105981332 is an apocalyptic number.

It is an amenable number.

105981332 is a deficient number, since it is larger than the sum of its proper divisors (98937004).

105981332 is a wasteful number, since it uses less digits than its factorization.

105981332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67807 (or 67805 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 105981332 is about 10294.7235028436. The cubic root of 105981332 is about 473.2345649018.

The spelling of 105981332 in words is "one hundred five million, nine hundred eighty-one thousand, three hundred thirty-two".