105510051523320 has 256 divisors, whose sum is σ = 321333805900800. Its totient is φ = 27711180656640.

The previous prime is 105510051523319. The next prime is 105510051523321. The reversal of 105510051523320 is 23325150015501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105510051523319) and next prime (105510051523321).

It is a super-2 number, since 2×105510051523320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105510051523321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13043641836 + ... + 13043649924.

It is an arithmetic number, because the mean of its divisors is an integer number (1255210179300).

Almost surely, 2^{105510051523320} is an apocalyptic number.

105510051523320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105510051523320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160666902950400).

105510051523320 is an abundant number, since it is smaller than the sum of its proper divisors (215823754377480).

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

105510051523320 is a wasteful number, since it uses less digits than its factorization.

105510051523320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12070 (or 12066 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 105510051523320 in words is "one hundred five trillion, five hundred ten billion, fifty-one million, five hundred twenty-three thousand, three hundred twenty".