105916863 has 48 divisors (see below), whose sum is σ = 165279744. Its totient is φ = 60128640.

The previous prime is 105916861. The next prime is 105916871. The reversal of 105916863 is 368619501.

It is not a de Polignac number, because 105916863 - 2¹ = 105916861 is a prime.

It is a super-2 number, since 2×105916863² = 22436763735521538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105916861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361345 + ... + 361637.

It is an arithmetic number, because the mean of its divisors is an integer number (3443328).

Almost surely, 2^105916863 is an apocalyptic number.

105916863 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105916863 is a deficient number, since it is larger than the sum of its proper divisors (59362881).

105916863 is a wasteful number, since it uses less digits than its factorization.

105916863 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 105916863 is about 10291.5918593772. The cubic root of 105916863 is about 473.1385884157.

The spelling of 105916863 in words is "one hundred five million, nine hundred sixteen thousand, eight hundred sixty-three".