105342543252040 has 64 divisors (see below), whose sum is σ = 238462121954160. Its totient is φ = 41881159434240.

The previous prime is 105342543252017. The next prime is 105342543252073. The reversal of 105342543252040 is 40252345243501.

It can be written as a sum of positive squares in 8 ways, for example, as 6259113319684 + 99083429932356 = 2501822^2 + 9954066^2 .

It is a super-2 number, since 2×105342543252040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 105342543251984 and 105342543252002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2515180 + ... + 14731300.

Almost surely, 2^{105342543252040} is an apocalyptic number.

105342543252040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105342543252040 is an abundant number, since it is smaller than the sum of its proper divisors (133119578702120).

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

105342543252040 is a wasteful number, since it uses less digits than its factorization.

105342543252040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12217442 (or 12217438 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 105342543252040 its reverse (40252345243501), we get a palindrome (145594888495541).

The spelling of 105342543252040 in words is "one hundred five trillion, three hundred forty-two billion, five hundred forty-three million, two hundred fifty-two thousand, forty".