105535240650 has 288 divisors, whose sum is σ = 343038758400. Its totient is φ = 22722768000.

The previous prime is 105535240649. The next prime is 105535240667. The reversal of 105535240650 is 56042535501.

105535240650 is a `hidden beast` number, since 1 + 0 + 553 + 5 + 2 + 40 + 65 + 0 = 666.

It is a super-2 number, since 2×105535240650² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10708225 + ... + 10718075.

It is an arithmetic number, because the mean of its divisors is an integer number (1191106800).

Almost surely, 2^105535240650 is an apocalyptic number.

105535240650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105535240650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171519379200).

105535240650 is an abundant number, since it is smaller than the sum of its proper divisors (237503517750).

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

105535240650 is a wasteful number, since it uses less digits than its factorization.

105535240650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10074 (or 10066 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 105535240650 in words is "one hundred five billion, five hundred thirty-five million, two hundred forty thousand, six hundred fifty".