107106641 has 2 divisors, whose sum is σ = 107106642. Its totient is φ = 107106640.

The previous prime is 107106583. The next prime is 107106661. The reversal of 107106641 is 146601701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107019025 + 87616 = 10345^2 + 296^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-107106641 is a prime.

It is a super-2 number, since 2×107106641² = 22943665092605762, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107106641.

It is not a weakly prime, because it can be changed into another prime (107106661) 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 as a sum of consecutive naturals, namely, 53553320 + 53553321.

It is an arithmetic number, because the mean of its divisors is an integer number (53553321).

Almost surely, 2^107106641 is an apocalyptic number.

It is an amenable number.

107106641 is a deficient number, since it is larger than the sum of its proper divisors (1).

107106641 is an equidigital number, since it uses as much as digits as its factorization.

107106641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 107106641 is about 10349.2338363765. The cubic root of 107106641 is about 474.9036051854.

The spelling of 107106641 in words is "one hundred seven million, one hundred six thousand, six hundred forty-one".