105694992 has 120 divisors (see below), whose sum is σ = 321729408. Its totient is φ = 32198400.

The previous prime is 105694991. The next prime is 105694993. The reversal of 105694992 is 299496501.

It is an interprime number because it is at equal distance from previous prime (105694991) and next prime (105694993).

It is a super-2 number, since 2×105694992² = 22342862667760128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105694991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245017 + ... + 245447.

Almost surely, 2^105694992 is an apocalyptic number.

105694992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105694992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

105694992 is an abundant number, since it is smaller than the sum of its proper divisors (216034416).

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

105694992 is a wasteful number, since it uses less digits than its factorization.

105694992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 105694992 is about 10280.8069722177. The cubic root of 105694992 is about 472.8079859852.

The spelling of 105694992 in words is "one hundred five million, six hundred ninety-four thousand, nine hundred ninety-two".