105010541200 has 30 divisors (see below), whose sum is σ = 252287826194. Its totient is φ = 42004216320.

The previous prime is 105010541177. The next prime is 105010541219. The reversal of 105010541200 is 2145010501.

It can be written as a sum of positive squares in 3 ways, for example, as 7134167296 + 97876373904 = 84464^2 + 312852^2 .

It is a super-2 number, since 2×105010541200² (a number of 23 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 131262777 + ... + 131263576.

Almost surely, 2^105010541200 is an apocalyptic number.

105010541200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105010541200 is an abundant number, since it is smaller than the sum of its proper divisors (147277284994).

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

105010541200 is a wasteful number, since it uses less digits than its factorization.

105010541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262526371 (or 262526360 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

Adding to 105010541200 its reverse (2145010501), we get a palindrome (107155551701).

The spelling of 105010541200 in words is "one hundred five billion, ten million, five hundred forty-one thousand, two hundred".