106582501 has 2 divisors, whose sum is σ = 106582502. Its totient is φ = 106582500.

The previous prime is 106582481. The next prime is 106582543. The reversal of 106582501 is 105285601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84162276 + 22420225 = 9174^2 + 4735^2 .

It is a cyclic number.

It is not a de Polignac number, because 106582501 - 2¹⁵ = 106549733 is a prime.

It is a super-3 number, since 3×106582501³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106582501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106582561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53291250 + 53291251.

It is an arithmetic number, because the mean of its divisors is an integer number (53291251).

Almost surely, 2^106582501 is an apocalyptic number.

It is an amenable number.

106582501 is a deficient number, since it is larger than the sum of its proper divisors (1).

106582501 is an equidigital number, since it uses as much as digits as its factorization.

106582501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 106582501 is about 10323.8801329733. The cubic root of 106582501 is about 474.1276709862.

The spelling of 106582501 in words is "one hundred six million, five hundred eighty-two thousand, five hundred one".