36826100 has 54 divisors (see below), whose sum is σ = 82436130. Its totient is φ = 14279040.

The previous prime is 36826099. The next prime is 36826121. The reversal of 36826100 is 162863.

It can be written as a sum of positive squares in 9 ways, for example, as 4153444 + 32672656 = 2038^2 + 5716^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 36826100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 136766 + ... + 137034.

It is an arithmetic number, because the mean of its divisors is an integer number (1526595).

Almost surely, 2^36826100 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 36826100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41218065).

36826100 is an abundant number, since it is smaller than the sum of its proper divisors (45610030).

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

36826100 is a wasteful number, since it uses less digits than its factorization.

36826100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 36826100 is about 6068.4512027370. The cubic root of 36826100 is about 332.6993170569.

Adding to 36826100 its reverse (162863), we get a palindrome (36988963).

The spelling of 36826100 in words is "thirty-six million, eight hundred twenty-six thousand, one hundred".