105971338 has 16 divisors (see below), whose sum is σ = 173612736. Its totient is φ = 48111840.

The previous prime is 105971267. The next prime is 105971339. The reversal of 105971338 is 833179501.

It is a happy number.

It is a super-4 number, since 4×105971338⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105971297 and 105971306.

It is not an unprimeable number, because it can be changed into a prime (105971339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20395 + ... + 25057.

It is an arithmetic number, because the mean of its divisors is an integer number (10850796).

Almost surely, 2^105971338 is an apocalyptic number.

105971338 is a deficient number, since it is larger than the sum of its proper divisors (67641398).

105971338 is a wasteful number, since it uses less digits than its factorization.

105971338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5709.

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 105971338 is about 10294.2380971104. The cubic root of 105971338 is about 473.2196891533.

It can be divided in two parts, 10597 and 1338, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 105971338 in words is "one hundred five million, nine hundred seventy-one thousand, three hundred thirty-eight".