105351235200 has 192 divisors, whose sum is σ = 385556572800. Its totient is φ = 28093639680.

The previous prime is 105351235193. The next prime is 105351235229. The reversal of 105351235200 is 2532153501.

It is a happy number.

105351235200 is a `hidden beast` number, since 1 + 0 + 535 + 123 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105351235200² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 523272 + ... + 696071.

It is an arithmetic number, because the mean of its divisors is an integer number (2008107150).

Almost surely, 2^105351235200 is an apocalyptic number.

105351235200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105351235200 is an abundant number, since it is smaller than the sum of its proper divisors (280205337600).

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

105351235200 is a wasteful number, since it uses less digits than its factorization.

105351235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219376 (or 1219353 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 105351235200 its reverse (2532153501), we get a palindrome (107883388701).

The spelling of 105351235200 in words is "one hundred five billion, three hundred fifty-one million, two hundred thirty-five thousand, two hundred".