105535655240 has 32 divisors (see below), whose sum is σ = 251423180280. Its totient is φ = 39731069952.

The previous prime is 105535655237. The next prime is 105535655279. The reversal of 105535655240 is 42556535501.

It can be written as a sum of positive squares in 4 ways, for example, as 68510968516 + 37024686724 = 261746^2 + 192418^2 .

It is a super-2 number, since 2×105535655240² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77599067 + ... + 77600426.

Almost surely, 2^105535655240 is an apocalyptic number.

105535655240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105535655240 is an abundant number, since it is smaller than the sum of its proper divisors (145887525040).

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

105535655240 is a wasteful number, since it uses less digits than its factorization.

105535655240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155199521 (or 155199517 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 41.

The spelling of 105535655240 in words is "one hundred five billion, five hundred thirty-five million, six hundred fifty-five thousand, two hundred forty".