105243552313020 has 288 divisors, whose sum is σ = 360209498148864. Its totient is φ = 24641475609600.

The previous prime is 105243552313001. The next prime is 105243552313027. The reversal of 105243552313020 is 20313255342501.

105243552313020 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 43 + 552 + 31 + 30 + 2 + 0 = 666.

It is a super-2 number, since 2×105243552313020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105243552313027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29169744 + ... + 32578536.

It is an arithmetic number, because the mean of its divisors is an integer number (1250727424128).

Almost surely, 2^{105243552313020} is an apocalyptic number.

105243552313020 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 105243552313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180104749074432).

105243552313020 is an abundant number, since it is smaller than the sum of its proper divisors (254965945835844).

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

105243552313020 is a wasteful number, since it uses less digits than its factorization.

105243552313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409353 (or 3409348 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 105243552313020 in words is "one hundred five trillion, two hundred forty-three billion, five hundred fifty-two million, three hundred thirteen thousand, twenty".