105576330 has 16 divisors (see below), whose sum is σ = 253383264. Its totient is φ = 28153680.

The previous prime is 105576319. The next prime is 105576347. The reversal of 105576330 is 33675501.

It is a super-2 number, since 2×105576330² = 22292722912537800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 3519211 = 105576330 / (1 + 0 + 5 + 5 + 7 + 6 + 3 + 3 + 0).

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, 1759576 + ... + 1759635.

It is an arithmetic number, because the mean of its divisors is an integer number (15836454).

Almost surely, 2^105576330 is an apocalyptic number.

105576330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105576330 is an abundant number, since it is smaller than the sum of its proper divisors (147806934).

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

105576330 is a wasteful number, since it uses less digits than its factorization.

105576330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519221.

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 105576330 is about 10275.0343065121. The cubic root of 105576330 is about 472.6309818557.

The spelling of 105576330 in words is "one hundred five million, five hundred seventy-six thousand, three hundred thirty".