105903864 has 48 divisors (see below), whose sum is σ = 312900120. Its totient is φ = 32091840.

The previous prime is 105903857. The next prime is 105903881. The reversal of 105903864 is 468309501.

105903864 is a `hidden beast` number, since 1 + 0 + 590 + 3 + 8 + 64 = 666.

It is a super-3 number, since 3×105903864³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66067 + ... + 67650.

Almost surely, 2^105903864 is an apocalyptic number.

It is an amenable number.

105903864 is an abundant number, since it is smaller than the sum of its proper divisors (206996256).

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

105903864 is a wasteful number, since it uses less digits than its factorization.

105903864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133740 (or 133733 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 105903864 is about 10290.9603050444. The cubic root of 105903864 is about 473.1192317871.

The spelling of 105903864 in words is "one hundred five million, nine hundred three thousand, eight hundred sixty-four".