36102820 has 48 divisors (see below), whose sum is σ = 82188288. Its totient is φ = 13242240.

The previous prime is 36102797. The next prime is 36102821. The reversal of 36102820 is 2820163.

It is a super-2 number, since 2×36102820² = 2606827223904800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36102791 and 36102800.

It is not an unprimeable number, because it can be changed into a prime (36102821) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 49297 + ... + 50023.

It is an arithmetic number, because the mean of its divisors is an integer number (1712256).

Almost surely, 2^36102820 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 36102820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41094144).

36102820 is an abundant number, since it is smaller than the sum of its proper divisors (46085468).

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

36102820 is a wasteful number, since it uses less digits than its factorization.

36102820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 36102820 is about 6008.5622240266. The cubic root of 36102820 is about 330.5067817886.

Adding to 36102820 its reverse (2820163), we get a palindrome (38922983).

The spelling of 36102820 in words is "thirty-six million, one hundred two thousand, eight hundred twenty".