105120040110 has 64 divisors (see below), whose sum is σ = 266576555520. Its totient is φ = 26455628160.

The previous prime is 105120040093. The next prime is 105120040127. The reversal of 105120040110 is 11040021501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105120040093) and next prime (105120040127).

It is a super-2 number, since 2×105120040110² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105120040110.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 200701 + ... + 500520.

It is an arithmetic number, because the mean of its divisors is an integer number (4165258680).

Almost surely, 2^105120040110 is an apocalyptic number.

105120040110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105120040110 is an abundant number, since it is smaller than the sum of its proper divisors (161456515410).

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

105120040110 is a wasteful number, since it uses less digits than its factorization.

105120040110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701513.

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 105120040110 its reverse (11040021501), we get a palindrome (116160061611).

The spelling of 105120040110 in words is "one hundred five billion, one hundred twenty million, forty thousand, one hundred ten".