105968394 has 24 divisors (see below), whose sum is σ = 262398240. Its totient is φ = 30276648.

The previous prime is 105968381. The next prime is 105968399. The reversal of 105968394 is 493869501.

It is a happy number.

It is a super-2 number, since 2×105968394² = 22458601053878472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105968399) 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, 420384 + ... + 420635.

It is an arithmetic number, because the mean of its divisors is an integer number (10933260).

Almost surely, 2^105968394 is an apocalyptic number.

105968394 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105968394 is an abundant number, since it is smaller than the sum of its proper divisors (156429846).

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

105968394 is a wasteful number, since it uses less digits than its factorization.

105968394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841034 (or 841031 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 105968394 is about 10294.0951035047. The cubic root of 105968394 is about 473.2153069254.

The spelling of 105968394 in words is "one hundred five million, nine hundred sixty-eight thousand, three hundred ninety-four".