105340234240 has 40 divisors (see below), whose sum is σ = 252569677140. Its totient is φ = 42136092672.

The previous prime is 105340234229. The next prime is 105340234261. The reversal of 105340234240 is 42432043501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 104447897856 + 892336384 = 323184^2 + 29872^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105340234240² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105340234199 and 105340234208.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20571705 + ... + 20576824.

Almost surely, 2^105340234240 is an apocalyptic number.

105340234240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105340234240 is an abundant number, since it is smaller than the sum of its proper divisors (147229442900).

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

105340234240 is an frugal number, since it uses more digits than its factorization.

105340234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41148552 (or 41148536 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 105340234240 its reverse (42432043501), we get a palindrome (147772277741).

The spelling of 105340234240 in words is "one hundred five billion, three hundred forty million, two hundred thirty-four thousand, two hundred forty".