105199864 has 96 divisors (see below), whose sum is σ = 258716160. Its totient is φ = 39614400.

The previous prime is 105199823. The next prime is 105199877. The reversal of 105199864 is 468991501.

It is a super-2 number, since 2×105199864² = 22134022771236992, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 105199864.

It is a congruent number.

It is an unprimeable number.

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, 133279 + ... + 134065.

It is an arithmetic number, because the mean of its divisors is an integer number (2694960).

Almost surely, 2^105199864 is an apocalyptic number.

105199864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105199864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129358080).

105199864 is an abundant number, since it is smaller than the sum of its proper divisors (153516296).

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

105199864 is a wasteful number, since it uses less digits than its factorization.

105199864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The square root of 105199864 is about 10256.6984941549. The cubic root of 105199864 is about 472.0685407503.

The spelling of 105199864 in words is "one hundred five million, one hundred ninety-nine thousand, eight hundred sixty-four".