106541872 has 20 divisors (see below), whose sum is σ = 210321360. Its totient is φ = 52265408.

The previous prime is 106541867. The next prime is 106541879. The reversal of 106541872 is 278145601.

It is a super-2 number, since 2×106541872² = 22702340978528768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106541879) 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 3 ways as a sum of consecutive naturals, for example, 61972 + ... + 63667.

It is an arithmetic number, because the mean of its divisors is an integer number (10516068).

Almost surely, 2^106541872 is an apocalyptic number.

It is an amenable number.

106541872 is a deficient number, since it is larger than the sum of its proper divisors (103779488).

106541872 is a wasteful number, since it uses less digits than its factorization.

106541872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125700 (or 125694 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 106541872 is about 10321.9122259395. The cubic root of 106541872 is about 474.0674178765.

The spelling of 106541872 in words is "one hundred six million, five hundred forty-one thousand, eight hundred seventy-two".