36436160210100 has 288 divisors, whose sum is σ = 125730028763136. Its totient is φ = 7965568934400.

The previous prime is 36436160210069. The next prime is 36436160210111. The reversal of 36436160210100 is 101206163463.

36436160210100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36436160210100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1036838530 + ... + 1036873670.

It is an arithmetic number, because the mean of its divisors is an integer number (436562599872).

Almost surely, 2^{36436160210100} is an apocalyptic number.

36436160210100 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 36436160210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62865014381568).

36436160210100 is an abundant number, since it is smaller than the sum of its proper divisors (89293868553036).

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

36436160210100 is a wasteful number, since it uses less digits than its factorization.

36436160210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56655 (or 56648 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

Adding to 36436160210100 its reverse (101206163463), we get a palindrome (36537366373563).

The spelling of 36436160210100 in words is "thirty-six trillion, four hundred thirty-six billion, one hundred sixty million, two hundred ten thousand, one hundred".