106536641 has 2 divisors, whose sum is σ = 106536642. Its totient is φ = 106536640.

The previous prime is 106536631. The next prime is 106536659. The reversal of 106536641 is 146635601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82810000 + 23726641 = 9100^2 + 4871^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106536641 is a prime.

It is a super-2 number, since 2×106536641² = 22700111751125762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106536598 and 106536607.

It is not a weakly prime, because it can be changed into another prime (106536631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53268320 + 53268321.

It is an arithmetic number, because the mean of its divisors is an integer number (53268321).

Almost surely, 2^106536641 is an apocalyptic number.

It is an amenable number.

106536641 is a deficient number, since it is larger than the sum of its proper divisors (1).

106536641 is an equidigital number, since it uses as much as digits as its factorization.

106536641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 106536641 is about 10321.6588298587. The cubic root of 106536641 is about 474.0596591515.

The spelling of 106536641 in words is "one hundred six million, five hundred thirty-six thousand, six hundred forty-one".