106503921 has 24 divisors (see below), whose sum is σ = 159705000. Its totient is φ = 68312832.

The previous prime is 106503919. The next prime is 106503931. The reversal of 106503921 is 129305601.

106503921 is a `hidden beast` number, since 1 + 0 + 650 + 3 + 9 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24800400 + 81703521 = 4980^2 + 9039^2 .

It is not a de Polignac number, because 106503921 - 2¹ = 106503919 is a prime.

It is a super-2 number, since 2×106503921² = 22686170376748482, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106503931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101005 + ... + 102053.

It is an arithmetic number, because the mean of its divisors is an integer number (6654375).

Almost surely, 2^106503921 is an apocalyptic number.

It is an amenable number.

106503921 is a deficient number, since it is larger than the sum of its proper divisors (53201079).

106503921 is a wasteful number, since it uses less digits than its factorization.

106503921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 106503921 is about 10320.0736915974. The cubic root of 106503921 is about 474.0111224223.

The spelling of 106503921 in words is "one hundred six million, five hundred three thousand, nine hundred twenty-one".