36106875 has 90 divisors (see below), whose sum is σ = 76391172. Its totient is φ = 16380000.

The previous prime is 36106853. The next prime is 36106877. The reversal of 36106875 is 57860163.

It is not a de Polignac number, because 36106875 - 2⁵ = 36106843 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36106877) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 275560 + ... + 275690.

Almost surely, 2^36106875 is an apocalyptic number.

36106875 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

36106875 is an abundant number, since it is smaller than the sum of its proper divisors (40284297).

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

36106875 is a wasteful number, since it uses less digits than its factorization.

36106875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 36106875 is about 6008.8996496863. The cubic root of 36106875 is about 330.5191552895.

The spelling of 36106875 in words is "thirty-six million, one hundred six thousand, eight hundred seventy-five".