105663690 has 192 divisors, whose sum is σ = 320785920. Its totient is φ = 24805440.

The previous prime is 105663673. The next prime is 105663703. The reversal of 105663690 is 96366501.

105663690 is a `hidden beast` number, since 1 + 0 + 566 + 3 + 6 + 90 = 666.

It is a super-2 number, since 2×105663690² = 22329630768832200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1577037 + ... + 1577103.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^105663690 is an apocalyptic number.

105663690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105663690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

105663690 is an abundant number, since it is smaller than the sum of its proper divisors (215122230).

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

105663690 is a wasteful number, since it uses less digits than its factorization.

105663690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 105663690 is about 10279.2845081747. The cubic root of 105663690 is about 472.7613067101.

It can be divided in two parts, 1056 and 63690, that added together give a palindrome (64746).

The spelling of 105663690 in words is "one hundred five million, six hundred sixty-three thousand, six hundred ninety".