105120004100 has 36 divisors (see below), whose sum is σ = 229775478324. Its totient is φ = 41741076480.

The previous prime is 105120004039. The next prime is 105120004111. The reversal of 105120004100 is 1400021501.

It can be written as a sum of positive squares in 6 ways, for example, as 453519616 + 104666484484 = 21296^2 + 323522^2 .

It is a super-2 number, since 2×105120004100² (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 11 ways as a sum of consecutive naturals, for example, 3822797 + ... + 3850196.

Almost surely, 2^105120004100 is an apocalyptic number.

105120004100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105120004100 is an abundant number, since it is smaller than the sum of its proper divisors (124655474224).

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

105120004100 is a wasteful number, since it uses less digits than its factorization.

105120004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7673144 (or 7673137 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 105120004100 its reverse (1400021501), we get a palindrome (106520025601).

The spelling of 105120004100 in words is "one hundred five billion, one hundred twenty million, four thousand, one hundred".