36106112 has 64 divisors (see below), whose sum is σ = 83721600. Its totient is φ = 15189504.

The previous prime is 36106093. The next prime is 36106121. The reversal of 36106112 is 21160163.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 52523 + ... + 53205.

It is an arithmetic number, because the mean of its divisors is an integer number (1308150).

Almost surely, 2^36106112 is an apocalyptic number.

36106112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41860800).

36106112 is an abundant number, since it is smaller than the sum of its proper divisors (47615488).

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

36106112 is an equidigital number, since it uses as much as digits as its factorization.

36106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 36106112 is about 6008.8361601894. The cubic root of 36106112 is about 330.5168271282.

Adding to 36106112 its reverse (21160163), we get a palindrome (57266275).

The spelling of 36106112 in words is "thirty-six million, one hundred six thousand, one hundred twelve".