36199112100 has 144 divisors (see below), whose sum is σ = 105844850496. Its totient is φ = 9551360000.

The previous prime is 36199112071. The next prime is 36199112137. The reversal of 36199112100 is 121199163.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15758152 + ... + 15760448.

It is an arithmetic number, because the mean of its divisors is an integer number (735033684).

Almost surely, 2^36199112100 is an apocalyptic number.

36199112100 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 36199112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52922425248).

36199112100 is an abundant number, since it is smaller than the sum of its proper divisors (69645738396).

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

36199112100 is a wasteful number, since it uses less digits than its factorization.

36199112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The spelling of 36199112100 in words is "thirty-six billion, one hundred ninety-nine million, one hundred twelve thousand, one hundred".