106752261 has 16 divisors (see below), whose sum is σ = 177458688. Its totient is φ = 55455600.

The previous prime is 106752221. The next prime is 106752281. The reversal of 106752261 is 162257601.

It is not a de Polignac number, because 106752261 - 2¹¹ = 106750213 is a prime.

It is a super-2 number, since 2×106752261² = 22792090457224242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106752211) 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 15 ways as a sum of consecutive naturals, for example, 230835 + ... + 231296.

It is an arithmetic number, because the mean of its divisors is an integer number (11091168).

Almost surely, 2^106752261 is an apocalyptic number.

106752261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106752261 is a deficient number, since it is larger than the sum of its proper divisors (70706427).

106752261 is a wasteful number, since it uses less digits than its factorization.

106752261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462152.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 106752261 is about 10332.0985767655. The cubic root of 106752261 is about 474.3792608122.

The spelling of 106752261 in words is "one hundred six million, seven hundred fifty-two thousand, two hundred sixty-one".