105903232 has 16 divisors (see below), whose sum is σ = 210979350. Its totient is φ = 52951552.

The previous prime is 105903229. The next prime is 105903233. The reversal of 105903232 is 232309501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 105349696 + 553536 = 10264^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×105903232² = 22430989096091648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105903197 and 105903206.

It is not an unprimeable number, because it can be changed into a prime (105903233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413557 + ... + 413812.

Almost surely, 2^105903232 is an apocalyptic number.

It is an amenable number.

105903232 is a deficient number, since it is larger than the sum of its proper divisors (105076118).

105903232 is an frugal number, since it uses more digits than its factorization.

105903232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827383 (or 827371 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 105903232 is about 10290.9295984376. The cubic root of 105903232 is about 473.1182906444.

The spelling of 105903232 in words is "one hundred five million, nine hundred three thousand, two hundred thirty-two".