105836220000 has 1680 divisors, whose sum is σ = 480137831712. Its totient is φ = 22394880000.

The previous prime is 105836219989. The next prime is 105836220013. The reversal of 105836220000 is 22638501.

105836220000 is a `hidden beast` number, since 1 + 0 + 583 + 62 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×105836220000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 1735019970 + ... + 1735020030.

Almost surely, 2^105836220000 is an apocalyptic number.

105836220000 is a gapful number since it is divisible by the number (10) 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 105836220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240068915856).

105836220000 is an abundant number, since it is smaller than the sum of its proper divisors (374301611712).

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

105836220000 is an frugal number, since it uses more digits than its factorization.

105836220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 105836220000 its reverse (22638501), we get a palindrome (105858858501).

The spelling of 105836220000 in words is "one hundred five billion, eight hundred thirty-six million, two hundred twenty thousand".