105466875 has 20 divisors (see below), whose sum is σ = 175725000. Its totient is φ = 56248000.

The previous prime is 105466871. The next prime is 105466897. The reversal of 105466875 is 578664501.

It is not a de Polignac number, because 105466875 - 2² = 105466871 is a prime.

It is a super-2 number, since 2×105466875² = 22246523444531250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105466871) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26250 + ... + 29999.

It is an arithmetic number, because the mean of its divisors is an integer number (8786250).

Almost surely, 2^105466875 is an apocalyptic number.

105466875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105466875 is a deficient number, since it is larger than the sum of its proper divisors (70258125).

105466875 is an frugal number, since it uses more digits than its factorization.

105466875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56272 (or 56257 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 105466875 is about 10269.7066657232. The cubic root of 105466875 is about 472.4675938694.

The spelling of 105466875 in words is "one hundred five million, four hundred sixty-six thousand, eight hundred seventy-five".