36100435104 has 120 divisors (see below), whose sum is σ = 106298130708. Its totient is φ = 12019000320.

The previous prime is 36100435099. The next prime is 36100435117. The reversal of 36100435104 is 40153400163.

36100435104 is a `hidden beast` number, since 3 + 6 + 100 + 43 + 510 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29154879504 + 6945555600 = 170748^2 + 83340^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2265244 + ... + 2281124.

Almost surely, 2^36100435104 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 36100435104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53149065354).

36100435104 is an abundant number, since it is smaller than the sum of its proper divisors (70197695604).

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

36100435104 is a wasteful number, since it uses less digits than its factorization.

36100435104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16780 (or 16763 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 36100435104 its reverse (40153400163), we get a palindrome (76253835267).

The spelling of 36100435104 in words is "thirty-six billion, one hundred million, four hundred thirty-five thousand, one hundred four".