105608331 has 12 divisors (see below), whose sum is σ = 153896808. Its totient is φ = 69781824.

The previous prime is 105608329. The next prime is 105608339. The reversal of 105608331 is 133806501.

It is not a de Polignac number, because 105608331 - 2¹ = 105608329 is a prime.

It is a super-2 number, since 2×105608331² = 22306239153211122, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105608295 and 105608304.

It is not an unprimeable number, because it can be changed into a prime (105608339) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50905 + ... + 52938.

It is an arithmetic number, because the mean of its divisors is an integer number (12824734).

Almost surely, 2^105608331 is an apocalyptic number.

105608331 is a deficient number, since it is larger than the sum of its proper divisors (48288477).

105608331 is a wasteful number, since it uses less digits than its factorization.

105608331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103962 (or 103959 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105608331 is about 10276.5914096066. The cubic root of 105608331 is about 472.6787297306.

The spelling of 105608331 in words is "one hundred five million, six hundred eight thousand, three hundred thirty-one".