105566150 has 24 divisors (see below), whose sum is σ = 196687560. Its totient is φ = 42154560.

The previous prime is 105566101. The next prime is 105566203. The reversal of 105566150 is 51665501.

It is a super-2 number, since 2×105566150² = 22288424051645000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35522 + ... + 38378.

It is an arithmetic number, because the mean of its divisors is an integer number (8195315).

Almost surely, 2^105566150 is an apocalyptic number.

105566150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105566150 is a deficient number, since it is larger than the sum of its proper divisors (91121410).

105566150 is a wasteful number, since it uses less digits than its factorization.

105566150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 105566150 is about 10274.5389190951. The cubic root of 105566150 is about 472.6157905149.

The spelling of 105566150 in words is "one hundred five million, five hundred sixty-six thousand, one hundred fifty".