105402123210 has 16 divisors (see below), whose sum is σ = 252965095776. Its totient is φ = 28107232848.

The previous prime is 105402123193. The next prime is 105402123227. The reversal of 105402123210 is 12321204501.

It is an interprime number because it is at equal distance from previous prime (105402123193) and next prime (105402123227).

It is a super-3 number, since 3×105402123210³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon 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 7 ways as a sum of consecutive naturals, for example, 1756702024 + ... + 1756702083.

It is an arithmetic number, because the mean of its divisors is an integer number (15810318486).

Almost surely, 2^105402123210 is an apocalyptic number.

105402123210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105402123210 is an abundant number, since it is smaller than the sum of its proper divisors (147562972566).

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

105402123210 is a wasteful number, since it uses less digits than its factorization.

105402123210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513404117.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 105402123210 its reverse (12321204501), we get a palindrome (117723327711).

The spelling of 105402123210 in words is "one hundred five billion, four hundred two million, one hundred twenty-three thousand, two hundred ten".