105968092 has 48 divisors (see below), whose sum is σ = 200672640. Its totient is φ = 48814272.

The previous prime is 105968087. The next prime is 105968099. The reversal of 105968092 is 290869501.

It is a super-2 number, since 2×105968092² = 22458473044240928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105968099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674878 + ... + 675034.

It is an arithmetic number, because the mean of its divisors is an integer number (4180680).

Almost surely, 2^105968092 is an apocalyptic number.

It is an amenable number.

105968092 is a deficient number, since it is larger than the sum of its proper divisors (94704548).

105968092 is a wasteful number, since it uses less digits than its factorization.

105968092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 105968092 is about 10294.0804348907. The cubic root of 105968092 is about 473.2148573852.

The spelling of 105968092 in words is "one hundred five million, nine hundred sixty-eight thousand, ninety-two".