36032100 has 72 divisors (see below), whose sum is σ = 112284480. Its totient is φ = 8868480.

The previous prime is 36032093. The next prime is 36032107. The reversal of 36032100 is 123063.

It is an interprime number because it is at equal distance from previous prime (36032093) and next prime (36032107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 36032100.

It is not an unprimeable number, because it can be changed into a prime (36032107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720 + ... + 8519.

Almost surely, 2^36032100 is an apocalyptic number.

36032100 is a gapful number since it is divisible by the number (30) 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 36032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56142240).

36032100 is an abundant number, since it is smaller than the sum of its proper divisors (76252380).

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

36032100 is a wasteful number, since it uses less digits than its factorization.

36032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9269 (or 9262 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 36032100 is about 6002.6744039636. The cubic root of 36032100 is about 330.2908363498.

Adding to 36032100 its reverse (123063), we get a palindrome (36155163).

The spelling of 36032100 in words is "thirty-six million, thirty-two thousand, one hundred".