105406226244 has 36 divisors (see below), whose sum is σ = 290665655280. Its totient is φ = 31941280560.

The previous prime is 105406226201. The next prime is 105406226293. The reversal of 105406226244 is 442622604501.

105406226244 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 0 + 6 + 22 + 624 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×105406226244³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105406226199 and 105406226208.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133088274 + ... + 133089065.

It is an arithmetic number, because the mean of its divisors is an integer number (8074045980).

Almost surely, 2^105406226244 is an apocalyptic number.

It is an amenable number.

105406226244 is an abundant number, since it is smaller than the sum of its proper divisors (185259429036).

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

105406226244 is a wasteful number, since it uses less digits than its factorization.

105406226244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266177360 (or 266177355 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 105406226244 in words is "one hundred five billion, four hundred six million, two hundred twenty-six thousand, two hundred forty-four".