1201566105 has 24 divisors (see below), whose sum is σ = 2116862280. Its totient is φ = 630328320.

The previous prime is 1201566101. The next prime is 1201566109. The reversal of 1201566105 is 5016651021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1201566101) and next prime (1201566109).

It can be written as a sum of positive squares in 4 ways, for example, as 66145689 + 1135420416 = 8133^2 + 33696^2 .

It is not a de Polignac number, because 1201566105 - 2² = 1201566101 is a prime.

It is a super-2 number, since 2×1201566105² = 2887522209369742050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1201566101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216120 + ... + 221609.

It is an arithmetic number, because the mean of its divisors is an integer number (88202595).

Almost surely, 2^1201566105 is an apocalyptic number.

1201566105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1201566105 is a deficient number, since it is larger than the sum of its proper divisors (915296175).

1201566105 is a wasteful number, since it uses less digits than its factorization.

1201566105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437801 (or 437798 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1201566105 is about 34663.6135594661. The cubic root of 1201566105 is about 1063.1206556916.

The spelling of 1201566105 in words is "one billion, two hundred one million, five hundred sixty-six thousand, one hundred five".