105003872 has 24 divisors (see below), whose sum is σ = 206964072. Its totient is φ = 52441600.

The previous prime is 105003859. The next prime is 105003887. The reversal of 105003872 is 278300501.

It is a super-2 number, since 2×105003872² = 22051626269984768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42347 + ... + 44757.

It is an arithmetic number, because the mean of its divisors is an integer number (8623503).

Almost surely, 2^105003872 is an apocalyptic number.

It is an amenable number.

105003872 is a deficient number, since it is larger than the sum of its proper divisors (101960200).

105003872 is a wasteful number, since it uses less digits than its factorization.

105003872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 105003872 is about 10247.1396984720. The cubic root of 105003872 is about 471.7751969798.

The spelling of 105003872 in words is "one hundred five million, three thousand, eight hundred seventy-two".