105056330 has 16 divisors (see below), whose sum is σ = 189643464. Its totient is φ = 41902080.

The previous prime is 105056323. The next prime is 105056351. The reversal of 105056330 is 33650501.

It can be written as a sum of positive squares in 4 ways, for example, as 61324561 + 43731769 = 7831^2 + 6613^2 .

It is a super-3 number, since 3×105056330³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105056296 and 105056305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11351 + ... + 18410.

Almost surely, 2^105056330 is an apocalyptic number.

105056330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105056330 is a deficient number, since it is larger than the sum of its proper divisors (84587134).

105056330 is a wasteful number, since it uses less digits than its factorization.

105056330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30121.

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 105056330 is about 10249.6990199713. The cubic root of 105056330 is about 471.8537472995.

The spelling of 105056330 in words is "one hundred five million, fifty-six thousand, three hundred thirty".