105045325200 has 120 divisors (see below), whose sum is σ = 373883584800. Its totient is φ = 28012083840.

The previous prime is 105045325199. The next prime is 105045325237. The reversal of 105045325200 is 2523540501.

It is a happy number.

105045325200 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 453 + 2 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105045325200² (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, 4852410 + ... + 4874009.

It is an arithmetic number, because the mean of its divisors is an integer number (3115696540).

Almost surely, 2^105045325200 is an apocalyptic number.

105045325200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105045325200 is an abundant number, since it is smaller than the sum of its proper divisors (268838259600).

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

105045325200 is a wasteful number, since it uses less digits than its factorization.

105045325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9726446 (or 9726429 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 105045325200 its reverse (2523540501), we get a palindrome (107568865701).

The spelling of 105045325200 in words is "one hundred five billion, forty-five million, three hundred twenty-five thousand, two hundred".