105365604204 has 288 divisors, whose sum is σ = 329767925760. Its totient is φ = 27698112000.

The previous prime is 105365604199. The next prime is 105365604217. The reversal of 105365604204 is 402406563501.

105365604204 is a `hidden beast` number, since 1 + 0 + 53 + 6 + 560 + 42 + 0 + 4 = 666.

105365604204 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105365604204² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 25628109 + ... + 25632219.

It is an arithmetic number, because the mean of its divisors is an integer number (1145027520).

Almost surely, 2^105365604204 is an apocalyptic number.

105365604204 is a gapful number since it is divisible by the number (14) 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 105365604204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164883962880).

105365604204 is an abundant number, since it is smaller than the sum of its proper divisors (224402321556).

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

105365604204 is a wasteful number, since it uses less digits than its factorization.

105365604204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4301 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 105365604204 in words is "one hundred five billion, three hundred sixty-five million, six hundred four thousand, two hundred four".