36102024 has 144 divisors (see below), whose sum is σ = 118263600. Its totient is φ = 10287648.

The previous prime is 36102007. The next prime is 36102091. The reversal of 36102024 is 42020163.

It is a happy number.

36102024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36102024² = 2606712273793152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 36101988 and 36102006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95067 + ... + 95445.

It is an arithmetic number, because the mean of its divisors is an integer number (821275).

Almost surely, 2^36102024 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 36102024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59131800).

36102024 is an abundant number, since it is smaller than the sum of its proper divisors (82161576).

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

36102024 is a wasteful number, since it uses less digits than its factorization.

36102024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 36102024 is about 6008.4959848534. The cubic root of 36102024 is about 330.5043527509.

Adding to 36102024 its reverse (42020163), we get a palindrome (78122187).

The spelling of 36102024 in words is "thirty-six million, one hundred two thousand, twenty-four".