106496875 has 24 divisors (see below), whose sum is σ = 135835056. Its totient is φ = 83460000.

The previous prime is 106496861. The next prime is 106496879. The reversal of 106496875 is 578694601.

It is not a de Polignac number, because 106496875 - 2⁹ = 106496363 is a prime.

It is a super-2 number, since 2×106496875² = 22683168769531250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106496879) by changing a digit.

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, 165304 + ... + 165946.

It is an arithmetic number, because the mean of its divisors is an integer number (5659794).

Almost surely, 2^106496875 is an apocalyptic number.

106496875 is a deficient number, since it is larger than the sum of its proper divisors (29338181).

106496875 is an frugal number, since it uses more digits than its factorization.

106496875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 106496875 is about 10319.7323124197. The cubic root of 106496875 is about 474.0006691107. Note that the first 3 decimals are identical.

The spelling of 106496875 in words is "one hundred six million, four hundred ninety-six thousand, eight hundred seventy-five".