105332238162 has 90 divisors (see below), whose sum is σ = 242046947637. Its totient is φ = 34236385344.

The previous prime is 105332238149. The next prime is 105332238169. The reversal of 105332238162 is 261832233501.

105332238162 is a `hidden beast` number, since 10 + 533 + 22 + 38 + 1 + 62 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103923061641 + 1409176521 = 322371^2 + 37539^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=229491.

It is a super-2 number, since 2×105332238162² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105332238169) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 177625738 + ... + 177626330.

Almost surely, 2^105332238162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105332238162

105332238162 is an abundant number, since it is smaller than the sum of its proper divisors (136714709475).

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

105332238162 is an frugal number, since it uses more digits than its factorization.

105332238162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 105332238162 in words is "one hundred five billion, three hundred thirty-two million, two hundred thirty-eight thousand, one hundred sixty-two".