105351334540 has 24 divisors (see below), whose sum is σ = 223723624320. Its totient is φ = 41667043968.

The previous prime is 105351334511. The next prime is 105351334549. The reversal of 105351334540 is 45433153501.

It is a super-2 number, since 2×105351334540² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105351334496 and 105351334505.

It is not an unprimeable number, because it can be changed into a prime (105351334549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29591292 + ... + 29594851.

It is an arithmetic number, because the mean of its divisors is an integer number (9321817680).

Almost surely, 2^105351334540 is an apocalyptic number.

105351334540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105351334540 is an abundant number, since it is smaller than the sum of its proper divisors (118372289780).

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

105351334540 is a wasteful number, since it uses less digits than its factorization.

105351334540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59186241 (or 59186239 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The spelling of 105351334540 in words is "one hundred five billion, three hundred fifty-one million, three hundred thirty-four thousand, five hundred forty".