105110610100 has 36 divisors (see below), whose sum is σ = 234254627404. Its totient is φ = 40907911680.

The previous prime is 105110610091. The next prime is 105110610103. The reversal of 105110610100 is 1016011501.

It can be written as a sum of positive squares in 6 ways, for example, as 14047504 + 105096562596 = 3748^2 + 324186^2 .

It is a super-2 number, since 2×105110610100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105110610103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14200437 + ... + 14207836.

Almost surely, 2^105110610100 is an apocalyptic number.

105110610100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105110610100 is an abundant number, since it is smaller than the sum of its proper divisors (129144017304).

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

105110610100 is a wasteful number, since it uses less digits than its factorization.

105110610100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28408324 (or 28408317 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 105110610100 its reverse (1016011501), we get a palindrome (106126621601).

The spelling of 105110610100 in words is "one hundred five billion, one hundred ten million, six hundred ten thousand, one hundred".