105338224692 has 36 divisors (see below), whose sum is σ = 266763856996. Its totient is φ = 35047831680.

The previous prime is 105338224637. The next prime is 105338224709. The reversal of 105338224692 is 296422833501.

105338224692 is a `hidden beast` number, since 1 + 0 + 5 + 338 + 224 + 6 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23242222116 + 82096002576 = 152454^2 + 286524^2 .

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

It is a super-2 number, since 2×105338224692² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 2684833 + ... + 2723784.

Almost surely, 2^105338224692 is an apocalyptic number.

105338224692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105338224692 is an abundant number, since it is smaller than the sum of its proper divisors (161425632304).

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

105338224692 is a wasteful number, since it uses less digits than its factorization.

105338224692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5409168 (or 5409163 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 105338224692 in words is "one hundred five billion, three hundred thirty-eight million, two hundred twenty-four thousand, six hundred ninety-two".