36729105 has 16 divisors (see below), whose sum is σ = 67161984. Its totient is φ = 16790400.

The previous prime is 36729103. The next prime is 36729107. The reversal of 36729105 is 50192763.

It is an interprime number because it is at equal distance from previous prime (36729103) and next prime (36729107).

It is not a de Polignac number, because 36729105 - 2¹ = 36729103 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (36729101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174796 + ... + 175005.

It is an arithmetic number, because the mean of its divisors is an integer number (4197624).

Almost surely, 2^36729105 is an apocalyptic number.

36729105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36729105 is a deficient number, since it is larger than the sum of its proper divisors (30432879).

36729105 is a wasteful number, since it uses less digits than its factorization.

36729105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349816.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 36729105 is about 6060.4541909002. The cubic root of 36729105 is about 332.4069651330.

The spelling of 36729105 in words is "thirty-six million, seven hundred twenty-nine thousand, one hundred five".