36168100 has 36 divisors (see below), whose sum is σ = 79283988. Its totient is φ = 14320000.

The previous prime is 36168079. The next prime is 36168113. The reversal of 36168100 is 186163.

It can be written as a sum of positive squares in 6 ways, for example, as 4875264 + 31292836 = 2208^2 + 5594^2 .

It is a super-2 number, since 2×36168100² = 2616262915220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8310 + ... + 11890.

It is an arithmetic number, because the mean of its divisors is an integer number (2202333).

Almost surely, 2^36168100 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 36168100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39641994).

36168100 is an abundant number, since it is smaller than the sum of its proper divisors (43115888).

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

36168100 is a wasteful number, since it uses less digits than its factorization.

36168100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 36168100 is about 6013.9920186179. The cubic root of 36168100 is about 330.7058658835.

It can be divided in two parts, 36 and 168100, that multiplied together give a square (6051600 = 2460²).

The spelling of 36168100 in words is "thirty-six million, one hundred sixty-eight thousand, one hundred".