106366240305 has 96 divisors (see below), whose sum is σ = 213111059616. Its totient is φ = 48609165312.

The previous prime is 106366240291. The next prime is 106366240313. The reversal of 106366240305 is 503042663601.

106366240305 is a `hidden beast` number, since 10 + 636 + 6 + 2 + 4 + 0 + 3 + 0 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 22821540624 + 83544699681 = 151068^2 + 289041^2 .

It is not a de Polignac number, because 106366240305 - 2¹² = 106366236209 is a prime.

It is a super-2 number, since 2×106366240305² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106366240305.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 652729 + ... + 799241.

It is an arithmetic number, because the mean of its divisors is an integer number (2219906871).

Almost surely, 2^106366240305 is an apocalyptic number.

106366240305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106366240305 is an abundant number, since it is smaller than the sum of its proper divisors (106744819311).

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

106366240305 is a wasteful number, since it uses less digits than its factorization.

106366240305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146627 (or 146624 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 106366240305 in words is "one hundred six billion, three hundred sixty-six million, two hundred forty thousand, three hundred five".