106724763 has 32 divisors (see below), whose sum is σ = 163060800. Its totient is φ = 68947200.

The previous prime is 106724743. The next prime is 106724773. The reversal of 106724763 is 367427601.

It is not a de Polignac number, because 106724763 - 2⁶ = 106724699 is a prime.

It is a super-2 number, since 2×106724763² = 22780350074812338, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106724713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253293 + ... + 253713.

It is an arithmetic number, because the mean of its divisors is an integer number (5095650).

Almost surely, 2^106724763 is an apocalyptic number.

106724763 is a deficient number, since it is larger than the sum of its proper divisors (56336037).

106724763 is a wasteful number, since it uses less digits than its factorization.

106724763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 106724763 is about 10330.7677836645. The cubic root of 106724763 is about 474.3385259963.

The spelling of 106724763 in words is "one hundred six million, seven hundred twenty-four thousand, seven hundred sixty-three".