106307753 has 8 divisors (see below), whose sum is σ = 107335848. Its totient is φ = 105283584.

The previous prime is 106307743. The next prime is 106307767. The reversal of 106307753 is 357703601.

It can be written as a sum of positive squares in 4 ways, for example, as 24730729 + 81577024 = 4973^2 + 9032^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106307753 - 2⁴ = 106307737 is a prime.

It is a super-2 number, since 2×106307753² = 22602676695818018, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106307713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91625 + ... + 92777.

It is an arithmetic number, because the mean of its divisors is an integer number (13416981).

Almost surely, 2^106307753 is an apocalyptic number.

It is an amenable number.

106307753 is a deficient number, since it is larger than the sum of its proper divisors (1028095).

106307753 is a wasteful number, since it uses less digits than its factorization.

106307753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963.

The product of its (nonzero) digits is 13230, while the sum is 32.

The square root of 106307753 is about 10310.5651154532. The cubic root of 106307753 is about 473.7199188647.

The spelling of 106307753 in words is "one hundred six million, three hundred seven thousand, seven hundred fifty-three".