36106884 has 108 divisors (see below), whose sum is σ = 104376272. Its totient is φ = 10905840.

The previous prime is 36106877. The next prime is 36106901. The reversal of 36106884 is 48860163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117459 + ... + 117765.

Almost surely, 2^36106884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36106884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52188136).

36106884 is an abundant number, since it is smaller than the sum of its proper divisors (68269388).

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

36106884 is a wasteful number, since it uses less digits than its factorization.

36106884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 36106884 is about 6008.9003985754. The cubic root of 36106884 is about 330.5191827512.

The spelling of 36106884 in words is "thirty-six million, one hundred six thousand, eight hundred eighty-four".