105001663 has 16 divisors (see below), whose sum is σ = 118752480. Its totient is φ = 92163456.

The previous prime is 105001661. The next prime is 105001669. The reversal of 105001663 is 366100501.

It is a cyclic number.

It is not a de Polignac number, because 105001663 - 2¹ = 105001661 is a prime.

It is a super-2 number, since 2×105001663² = 22050698465531138, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105001661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23181 + ... + 27337.

It is an arithmetic number, because the mean of its divisors is an integer number (7422030).

Almost surely, 2^105001663 is an apocalyptic number.

105001663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105001663 is a deficient number, since it is larger than the sum of its proper divisors (13750817).

105001663 is a wasteful number, since it uses less digits than its factorization.

105001663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 105001663 is about 10247.0319117294. The cubic root of 105001663 is about 471.7718886614.

The spelling of 105001663 in words is "one hundred five million, one thousand, six hundred sixty-three".