105663460 has 24 divisors (see below), whose sum is σ = 253592640. Its totient is φ = 36227424.

The previous prime is 105663433. The next prime is 105663461. The reversal of 105663460 is 64366501.

It is a super-2 number, since 2×105663460² = 22329533558343200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105663461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 377230 + ... + 377509.

It is an arithmetic number, because the mean of its divisors is an integer number (10566360).

Almost surely, 2^105663460 is an apocalyptic number.

105663460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105663460 is an abundant number, since it is smaller than the sum of its proper divisors (147929180).

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

105663460 is a wasteful number, since it uses less digits than its factorization.

105663460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754755 (or 754753 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 105663460 is about 10279.2733206195. The cubic root of 105663460 is about 472.7609636872.

It can be divided in two parts, 1056 and 63460, that added together give a square (64516 = 254²).

The spelling of 105663460 in words is "one hundred five million, six hundred sixty-three thousand, four hundred sixty".