105978663 has 24 divisors (see below), whose sum is σ = 185241888. Its totient is φ = 56996352.

The previous prime is 105978661. The next prime is 105978667. The reversal of 105978663 is 366879501.

It is a happy number.

It is not a de Polignac number, because 105978663 - 2¹ = 105978661 is a prime.

It is a super-2 number, since 2×105978663² = 22462954022535138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105978661) 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 23 ways as a sum of consecutive naturals, for example, 48406 + ... + 50547.

It is an arithmetic number, because the mean of its divisors is an integer number (7718412).

Almost surely, 2^105978663 is an apocalyptic number.

105978663 is a deficient number, since it is larger than the sum of its proper divisors (79263225).

105978663 is a wasteful number, since it uses less digits than its factorization.

105978663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98983 (or 98980 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 105978663 is about 10294.5938725139. The cubic root of 105978663 is about 473.2305922724.

The spelling of 105978663 in words is "one hundred five million, nine hundred seventy-eight thousand, six hundred sixty-three".