105123643010130 has 64 divisors (see below), whose sum is σ = 258467334870528. Its totient is φ = 27347440189440.

The previous prime is 105123643010129. The next prime is 105123643010131. The reversal of 105123643010130 is 31010346321501.

It is an interprime number because it is at equal distance from previous prime (105123643010129) and next prime (105123643010131).

It is a super-2 number, since 2×105123643010130² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (105123643010131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15931287 + ... + 21541893.

It is an arithmetic number, because the mean of its divisors is an integer number (4038552107352).

Almost surely, 2^{105123643010130} is an apocalyptic number.

105123643010130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105123643010130 is an abundant number, since it is smaller than the sum of its proper divisors (153343691860398).

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

105123643010130 is a wasteful number, since it uses less digits than its factorization.

105123643010130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5625891.

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 105123643010130 its reverse (31010346321501), we get a palindrome (136133989331631).

The spelling of 105123643010130 in words is "one hundred five trillion, one hundred twenty-three billion, six hundred forty-three million, ten thousand, one hundred thirty".